A154219 Row sums of modified Fibonomial triangle A154218.

1, 2, 4, 10, 32, 132, 718, 5124, 47728, 575316, 8940208, 178299576, 4547802212, 148044149064, 6144073801072, 324818609118696, 21861634817456704, 1872569477046791376, 204095509252622560120, 28301889241280320588944

Offset

0,2

Links

G. C. Greubel, Table of n, a(n) for n = 0..100

Formula

a(n) = Sum{k=0..n} ( A010048(n,k)*(1 + F(k)*F(n-k) ) ).

Mathematica

f[n_, k_] := Product[Fibonacci[n - j + 1]/Fibonacci[j], {j, k}];  b[n_] := Sum[f[n, i]*(1 + Fibonacci[i]*Fibonacci[n - i]), {i, 0, n}];  Table[b[n], {n, 0, 10}] (* G. C. Greubel, Sep 04 2016 *)

Crossrefs

Cf. A056569.

Sequence in context: A166741 A054091 A056593 * A173489 A089476 A323207

Adjacent sequences: A154216 A154217 A154218 * A154220 A154221 A154222

Keyword

easy,nonn

Author

Paul Barry, Jan 05 2009

Status

approved