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 A229358 Total sum of n-th powers of parts in all partitions of 7. 2
 54, 105, 311, 1281, 6407, 35745, 212951, 1323441, 8464487, 55247745, 365983991, 2451448401, 16559916167, 112602093345, 769628452631, 5282089330161, 36372360161447, 251135368228545, 1737811434946871, 12047233511096721, 83642479068080327, 581449745964789345 (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..7} A066633(7,k) * k^n. a(n) = 30 + 11*2^n + 6*3^n + 3*4^n + 2*5^n + 6^n + 7^n. G.f.: -(196356*x^6 -339112*x^5 +230407*x^4 -79457*x^3 +14759*x^2 -1407*x +54) / Product_{j=1..7} (j*x-1). MAPLE a:= n-> 30+11*2^n+6*3^n+3*4^n+2*5^n+6^n+7^n: seq(a(n), n=0..30); CROSSREFS Row n=7 of A213191. Sequence in context: A044143 A044524 A095962 * A341362 A039477 A043446 Adjacent sequences: A229355 A229356 A229357 * A229359 A229360 A229361 KEYWORD nonn,easy AUTHOR Alois P. Heinz, Sep 20 2013 STATUS approved

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Last modified August 2 19:53 EDT 2024. Contains 374875 sequences. (Running on oeis4.)