A229356 Total sum of n-th powers of parts in all partitions of 5.
20, 35, 87, 287, 1119, 4775, 21447, 99407, 470319, 2256695, 10936407, 53384927, 261997119, 1291033415, 6381582567, 31620148847, 156969213519, 780378126935, 3884192631927, 19350690855167, 96473921031519, 481256133809255, 2401840755956487, 11991486019167887
Offset: 0
Links
- Alois P. Heinz, Table of n, a(n) for n = 0..1000
Crossrefs
Row n=5 of A213191.
Programs
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Maple
a:= n-> 12+4*2^n+2*3^n+4^n+5^n: seq(a(n), n=0..30);
Formula
a(n) = Sum_{k=1..5} A066633(5,k) * k^n.
a(n) = 12 + 4*2^n + 2*3^n + 4^n + 5^n.
G.f.: -(1814*x^4-2543*x^3+1262*x^2-265*x+20) / ((x-1) *(2*x-1) *(3*x-1) *(4*x-1) *(5*x-1)).