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Search: id:A001477
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| A001477 |
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The nonnegative integers. |
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+0
188
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| 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77
(list; table; graph; listen)
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OFFSET
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0,3
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COMMENT
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For nonnegative n, partial sums of A057427 = Sign(n). - Jeremy Gardiner (jeremy.gardiner(AT)btinternet.com), Sep 08 2002
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REFERENCES
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Paul Barry, A Catalan Transform and Related Transformations on Integer Sequences, Journal of Integer Sequences, Vol. 8 (2005), Article 05.4.5.
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LINKS
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N. J. A. Sloane, Table of n, a(n) for n = 0..500000
Milan Janjic, Enumerative Formulas for Some Functions on Finite Sets
Tanya Khovanova, Recursive Sequences
Index entries for "core" sequences
Index entries for sequences that are permutations of the natural numbers
Robert G. Wilson v, American English names for the numbers from 0 to 100999 without spaces or hyphens.
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FORMULA
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a(n)=n; a(0) = 0, a(n) = a(n-1)+1; G.f.: x/(1-x)^2.
Multiplicative with a(p^e) = p^e. - David W. Wilson (davidwwilson(AT)comcast.net), Aug 01, 2001.
When seen as array: T(k, n) = n + (k+n)*(k+n+1)/2. Main diagonal is 2n(n+1) (A046092), antidiagonal sums are n(n+1)(n+2)/2 (A027480). - Ralf Stephan, Oct 17 2004
Dirichlet generating function: zeta(s-1). - Franklin T. Adams-Watters, Sep 11 2005.
E.g.f. x*e^x. - Franklin T. Adams-Watters, Sep 11 2005.
a(0)=0, a(1)=1, a(n)=2a(n-1)-a(n-2). - Jaume Oliver i Lafont (joliverlafont(AT)gmail.com), May 07 2008
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MAPLE
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[ seq(n, n=0..100) ];
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MATHEMATICA
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Table[n, {n, 0, 100}] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Apr 08 2006
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PROGRAM
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(MAGMA) [ n : n in [0..100]];
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CROSSREFS
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Cf. A000027.
Adjacent sequences: A001474 A001475 A001476 this_sequence A001478 A001479 A001480
Sequence in context: A099570 A020725 A000027 this_sequence A033619 A130734 A090108
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KEYWORD
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core,nonn,easy,mult,tabl,new
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AUTHOR
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njas
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