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A014166 Apply partial sum operator 4 times to Fibonacci numbers. +0
9
0, 1, 5, 16, 41, 92, 189, 365, 674, 1204, 2098, 3588, 6050, 10093, 16703, 27476, 44995, 73440, 119575, 194345, 315460, 511576, 829060, 1342936, 2174596, 3520457, 5698329, 9222440, 14924829, 24151764, 39081553 (list; graph; listen)
OFFSET

0,3

FORMULA

(1/6) [6Fib(n+8) - (n^3+12n^2+59n+126) ]. G.f.: x/[(1-x)^4(1-x-x^2)].

a(n)=Sum_{k=1..n}{C(n-k+4,k+3)}, with n>=0 - Paolo P. Lava (ppl(AT)spl.at), Apr 16 2008

CROSSREFS

Cf. A000045.

Right-hand column 8 of triangle A011794.

Sequence in context: A081997 A078449 A014161 this_sequence A014171 A014175 A097810

Adjacent sequences: A014163 A014164 A014165 this_sequence A014167 A014168 A014169

KEYWORD

nonn

AUTHOR

njas

page 1

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Last modified September 5 01:44 EDT 2008. Contains 143476 sequences.


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