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URL: https://oeis.org/A359498

⇱ A359498 - OEIS

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A359498
a(n) = ((2*n+1)^8 - 1)/32.
3
0, 205, 12207, 180150, 1345210, 6698715, 25491585, 80090332, 217992420, 530736345, 1181964355, 2447218290, 4768371582, 8825923015, 15632700405, 26652844920, 43950269320, 70371105957, 109764982935, 167250289390, 249528913410, 365256258675, 525472668457, 744102708180
OFFSET
0,2
COMMENTS
a(n) and A000217(n) have the same parity.
LINKS
FORMULA
a(n) = A000217(n) * A219086(n) * A175110(n) = A219086(n) * A175110(n).
MATHEMATICA
((2*Range[0, 25] + 1)^8 - 1)/32 (* Paolo Xausa, Jan 23 2025 *)
PROG
(PARI) a(n) = ((2*n+1)^8 - 1)/32
(Python)
def A359498(n): return ((n<<1)+1)**8-1>>5 # Chai Wah Wu, Jan 15 2023
CROSSREFS
Cf. {((2*n+1)^2^k - 1)/2^(k+2)}: A000217 (k=1), A219086 (k=2), this sequence (k=3), A359499 (k=4).
Sequence in context: A226564 A077457 A060892 * A203862 A289333 A015289
KEYWORD
nonn,easy
AUTHOR
Jianing Song, Jan 03 2023
STATUS
approved