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Search: id:A014829
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| A014829 |
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a(1)=1, a(n)=6*a(n-1)+n. |
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+0
4
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| 1, 8, 51, 310, 1865, 11196, 67183, 403106, 2418645, 14511880, 87071291, 522427758, 3134566561, 18807399380, 112844396295, 677066377786, 4062398266733, 24374389600416, 146246337602515, 877478025615110
(list; graph; listen)
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OFFSET
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1,2
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FORMULA
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Binomial transform of x(1+x)/(1-5x), or A003948 with a leading 0. a(n)=sum{k=0..n, (n-k)6^k}=sum{k=0..n k*6^(n-k)}; a(n)=sum{k=0..n, binomial(n+2, k+2)5^k} [Offset 0]. - Paul Barry (pbarry(AT)wit.ie), Jul 30 2004
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MAPLE
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a:=n->1/5*sum(6^j-1, j=1..n): seq(a(n), n=1..20); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 27 2007
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CROSSREFS
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Sequence in context: A037697 A037606 A055147 this_sequence A048438 A013521 A035288
Adjacent sequences: A014826 A014827 A014828 this_sequence A014830 A014831 A014832
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KEYWORD
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nonn
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AUTHOR
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njas
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