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A054455 Row sums of triangle A054453. 2
1, 3, 7, 16, 34, 70, 140, 274, 527, 999, 1871, 3468, 6371, 11613, 21023, 37826, 67688, 120530, 213670, 377252, 663607, 1163361, 2033101, 3542808, 6157045, 10673703, 18460759, 31859716, 54872158, 94326622 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

FORMULA

a(n)= sum(A054453(n, m), m=0..n)=((5*n^2+27*n+50)*F(n+1)+ 34*(n+1)*F(n))/50, F(n)= A000045(n) (Fibonacci numbers).

G.f.: ((Fib(x))^3)*(1-x^2)^2, with Fib(x)=1/(1-x-x^2) G.f. for A000045(n+1) (Fibonacci numbers without F(0)).

CROSSREFS

Cf. A054453, A000045.

Sequence in context: A002936 A014668 A182615 * A178455 A026734 A026767

Adjacent sequences:  A054452 A054453 A054454 * A054456 A054457 A054458

KEYWORD

easy,nonn

AUTHOR

Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Apr 27 2000

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Last modified February 14 15:39 EST 2012. Contains 205635 sequences.