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A229355
Total sum of n-th powers of parts in all partitions of 4.
2
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
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
KEYWORD
nonn,easy
AUTHOR
Alois P. Heinz, Sep 20 2013
STATUS
approved