A229355 Total sum of n-th powers of parts in all partitions of 4.

12, 20, 44, 122, 392, 1370, 5024, 18962, 72872, 283370, 1110704, 4377602, 17320952, 68727770, 273267584, 1088189042, 4338210632, 17309402570, 69107683664, 276041741282, 1103001557912, 4408513155770, 17623579686944, 70462912522322, 281757456578792

Offset

0,1

Links

Alois P. Heinz, Table of n, a(n) for n = 0..1000

Formula

a(n) = Sum_{k=1..4} A066633(4,k) * k^n.

a(n) = 7 + 3*2^n + 3^n + 4^n.

G.f.: -2*(109*x^3-132*x^2+50*x-6)/((x-1)*(2*x-1)*(3*x-1)*(4*x-1)).

Maple

a:= n-> 7+3*2^n+3^n+4^n:
seq(a(n), n=0..30);

Crossrefs

Row n=4 of A213191.

Sequence in context: A209973 A282754 A063690 * A259174 A109788 A341361

Adjacent sequences: A229352 A229353 A229354 * A229356 A229357 A229358

Keyword

nonn,easy

Author

Alois P. Heinz, Sep 20 2013

Status

approved