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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
OFFSET
1,2
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).
Sequence in context: A222487 A307352 A345348 * A269608 A240196 A048907
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Dec 09 2021
STATUS
approved