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Search: id:A014166
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| A014166 |
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Apply partial sum operator 4 times to Fibonacci numbers. |
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+0
9
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| 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)
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OFFSET
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0,3
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FORMULA
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(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
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MATHEMATICA
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lst={}; s0=s1=s2=s3=0; Do[s0+=a[n]; s1+=s0; s2+=s1; s3+=s2; AppendTo[lst, s3], {n, 0, 6!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Dec 10 2008]
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CROSSREFS
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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
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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