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A229357
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Total sum of n-th powers of parts in all partitions of 6.
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2
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35, 66, 180, 660, 2904, 14196, 73920, 400620, 2229624, 12637956, 72573360, 420738780, 2456635944, 14422057716, 85023813600, 502907704140, 2982460443864, 17724476245476, 105513644666640, 628987635392700, 3753738850485384, 22422625749793236, 134041199563164480
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OFFSET
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0,1
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LINKS
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FORMULA
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a(n) = Sum_{k=1..6} A066633(6,k) * k^n.
a(n) = 19 + 8*2^n + 4*3^n + 2*4^n + 5^n + 6^n.
G.f.: -(18144*x^5 -28874*x^4 +17295*x^3 -4919*x^2 +669*x -35) / Product_{j=1..6} (j*x-1).
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MAPLE
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a:= n-> 19+8*2^n+4*3^n+2*4^n+5^n+6^n:
seq(a(n), n=0..30);
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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