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Search: id:A062805
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| A062805 |
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Sum i*n^(n - i), i = 1..n. |
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+0
2
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| 0, 1, 4, 18, 112, 975, 11196, 160132, 2739136, 54481005, 1234567900, 31384283766, 884241366768, 27342891567355, 920521275490012, 33512287529147400, 1311768467463790336, 54933923640889550745, 2450641333409472928572
(list; graph; listen)
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OFFSET
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0,3
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LINKS
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Harry J. Smith, Table of n, a(n) for n=0,...,100
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FORMULA
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a(n) = (n^(n+1)-n^2)/(n-1)^2 for n>1. - Dean Hickerson, Jun 26, 2001
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EXAMPLE
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a(0) = 0*0^0 = 0*1 = 0;
a(1) = 0*1^1 + 1*1^0 = 0 + 1 = 1;
a(2) = 0*2^2 + 1*2^1 + 2*2^0 = 0 + 2 + 2 = 4;
a(3) = 0*3^3 + 1*3^2 + 2*3^1 + 3*3^0 = 0 + 9 + 2*3 + 3*1 = 18.
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MATHEMATICA
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Sum[i*n^(n - i), {i, 1, n}]
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PROGRAM
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(PARI) { for (n=0, 100, if (n>1, a=(n^(n + 1) - n^2)/(n - 1)^2, a=n); write("b062805.txt", n, " ", a) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Aug 11 2009]
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CROSSREFS
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Sequence in context: A000986 A143920 A113356 this_sequence A053483 A052617 A141714
Adjacent sequences: A062802 A062803 A062804 this_sequence A062806 A062807 A062808
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KEYWORD
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nonn,easy
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AUTHOR
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Olivier Gerard (olivier.gerard(AT)gmail.com), Jun 23 2001
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