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Search: id:A054567
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| 1, 6, 19, 40, 69, 106, 151, 204, 265, 334, 411, 496, 589, 690, 799, 916, 1041, 1174, 1315, 1464, 1621, 1786, 1959, 2140, 2329, 2526, 2731, 2944, 3165, 3394, 3631, 3876, 4129, 4390, 4659, 4936, 5221, 5514, 5815, 6124, 6441, 6766, 7099, 7440, 7789, 8146
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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The number 1 is placed in the middle of a sheet of squared paper and the numbers 2, 3, 4, 5, 6, etc. are written in a clockwise spiral around 1, as in A068225 etc. This sequence is read off along one of the rays from 1.
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FORMULA
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a(n)=8*n+a(n-1)-11 (with a(1)=1) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 09 2009]
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EXAMPLE
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For n=2, a(2)=8*2+1-11=6; n=3, a(3)=8*3+6-11=19; n=4, a(4)=8*4+19-11=40 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 09 2009]
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MATHEMATICA
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lst={}; Do[p=4*n^2-7*n+4; AppendTo[lst, p], {n, 1, 6!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Sep 01 2008]
s = 1; lst = {s}; Do[s += n + 4; AppendTo[lst, s], {n, 1, 350, 8}]; lst [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 11 2009]
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CROSSREFS
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Cf. A054566, A068225, A054552, A054554, A054556, A054569, A033951.
Sequence in context: A010899 A090381 A106398 this_sequence A096957 A035495 A061293
Adjacent sequences: A054564 A054565 A054566 this_sequence A054568 A054569 A054570
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KEYWORD
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easy,nonn,new
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AUTHOR
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Enoch Haga, G. L. Honaker, Jr. (Enokh(AT)comcast.net), Apr 10 2000
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EXTENSIONS
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Edited by Frank Ellermann, Feb 24 2002
Typo fixed by Charles R Greathouse IV (charles.greathouse(AT)case.edu), Oct 28 2009
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