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A110313
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E.g.f. exp(x)/(1-x-x^2).
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2
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1, 2, 7, 34, 221, 1786, 17347, 196442, 2542969, 37030546, 599172671, 10664259442, 207061905877, 4355429249354, 98661276360571, 2394559287772906, 61991654930903537, 1705178260099590562, 49662655090649112439
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Binomial transform of A005442. Rows sums of A039948.
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..62
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FORMULA
| E.g.f.: exp(x)/(1-x-x^2).
a(n) = sum{k=0..n, binomial(n, k)*k!*F(k+1)}.
a(n) = sum{k=0..n, n!*F(n-k+1)/k!}.
Recurrence: 0=a(n+3)-(n+4)*a(n+2)-(n+2)^2*a(n+1)+(n+2)*(n+1)*a(n). [Emanuele Munarini, May 27 2011]
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MATHEMATICA
| Table[Sum[Binomial[n, k]k!Fibonacci[k + 1], {k, 0, n}], {n, 0, 100}] (* Emanuele Munarini, May 27 2011 *)
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PROG
| (Maxima) makelist(sum(binomial(n, k)*k!*fib(k+1), k, 0, n), n, 0, 19); [Emanuele Munarini, May 27 2011]
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CROSSREFS
| Cf. A000045.
Sequence in context: A143740 A049463 A029894 * A000944 A136310 A057298
Adjacent sequences: A110310 A110311 A110312 * A110314 A110315 A110316
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Jul 19 2005
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