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A154219 Row sums of modified Fibonomial triangle A154218. 2
1, 2, 4, 10, 32, 132, 718, 5124, 47728, 575316, 8940208, 178299576, 4547802212, 148044149064, 6144073801072, 324818609118696, 21861634817456704, 1872569477046791376, 204095509252622560120, 28301889241280320588944 (list; graph; refs; listen; history; text; internal format)
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

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Last modified August 4 13:49 EDT 2020. Contains 336201 sequences. (Running on oeis4.)