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Search: id:A015536
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| A015536 |
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Linear 2nd order recurrence. |
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+0
3
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| 0, 1, 5, 28, 155, 859, 4760, 26377, 146165, 809956, 4488275, 24871243, 137821040, 763718929, 4232057765, 23451445612, 129953401355, 720121343611, 3990466922120, 22112698641433, 122534893973525, 679012565791924
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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a(n) = 5 a(n-1) + 3 a(n-2).
a(n)=(5/2+sqrt(37)/2)^n/sqrt(37)-(5/2-sqrt(37)/2)^n/sqrt(37); a(n)=sum{k=0..floor((n-1)/2), binomial(n-k-1, k)3^k*5^(n-2k-1). - Paul Barry (pbarry(AT)wit.ie), Jul 20 2004
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CROSSREFS
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Sequence in context: A037591 A037682 A126699 this_sequence A005785 A027912 A090040
Adjacent sequences: A015533 A015534 A015535 this_sequence A015537 A015538 A015539
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KEYWORD
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nonn,easy
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AUTHOR
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Olivier Gerard (ogerard(AT)ext.jussieu.fr)
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