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 A349490 Sum of the n-th powers of the first n odd numbers. 0
 1, 10, 153, 3108, 79225, 2437006, 87922513, 3642188936, 170423429841, 8891285549650, 511800291063721, 32222868466588460, 2202868653419747209, 162509566498902542934, 12868118600594014094625, 1088626666242258867384848, 97994054039441765759931169 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Table of n, a(n) for n=1..17. FORMULA a(n) = Sum_{k=1..n} (2*k-1)^n. a(n) ~ 2^n * n^n / (exp(1/2) - exp(-1/2)). - Vaclav Kotesovec, Dec 09 2021 MATHEMATICA Table[Sum[(2*k-1)^n, {k, 1, n}], {n, 1, 20}] (* Vaclav Kotesovec, Dec 09 2021 *) PROG (PARI) a(n) = sum(k=1, n, (2*k-1)^n); CROSSREFS Sum of the k-th powers of the first n odd numbers: A000290 (k=1), A000447 (k=2), A002593 (k=3), A002309 (k=4), A002594 (k=5), A259322 (k=6). Cf. A005408, A031971, A061787, A103438. Sequence in context: A222487 A307352 A345348 * A269608 A240196 A048907 Adjacent sequences: A349487 A349488 A349489 * A349491 A349492 A349493 KEYWORD nonn AUTHOR Seiichi Manyama, Dec 09 2021 STATUS approved

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Last modified August 6 13:37 EDT 2024. Contains 374974 sequences. (Running on oeis4.)