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 A229361 Total sum of n-th powers of parts in all partitions of 10. 2
 192, 420, 1494, 7686, 49218, 358710, 2838234, 23736846, 206418978, 1846772550, 16877063274, 156755849406, 1474458820338, 14008019814390, 134151794416314, 1293111887664366, 12531051927887298, 121969635737464230, 1191547891970937354, 11676481763813277726 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..500 FORMULA a(n) = Sum_{k=1..10} A066633(10,k) * k^n. a(n) = 97+41*2^n+21*3^n+13*4^n+8*5^n+5*6^n+3*7^n+2*8^n+9^n+10^n. G.f.: -6*(79272960*x^9 -165073604*x^8 +144452636*x^7 -70246061*x^6 +21041460*x^5 -4044664*x^4 +500814*x^3 -38639*x^2 +1690*x -32) / Product_{j=1..10} (j*x-1). MAPLE a:= n-> 97+41*2^n+21*3^n+13*4^n+8*5^n+5*6^n+3*7^n+2*8^n+9^n+10^n: seq(a(n), n=0..30); CROSSREFS Row n=10 of A213191. Sequence in context: A234135 A030632 A189987 * A232940 A254854 A254847 Adjacent sequences:  A229358 A229359 A229360 * A229362 A229363 A229364 KEYWORD nonn,easy AUTHOR Alois P. Heinz, Sep 20 2013 STATUS approved

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Last modified December 4 02:40 EST 2021. Contains 349469 sequences. (Running on oeis4.)