A359499 a(n) = ((2*n+1)^16 - 1)/64.

0, 672605, 2384185791, 519264540150, 28953440450810, 717964529118315, 10397134518487185, 102631380558013916, 760331123057294820, 4506897086994080745, 22352635785031020755, 95822037745015603890, 363797880709171295166, 1246350673076132966615, 3910101151255427324805

Offset

0,2

Comments

a(n) and A000217(n) have the same parity.

Links

Jianing Song, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (17,-136,680,-2380,6188,-12376,19448,-24310,24310,-19448,12376,-6188,2380,-680,136,-17,1).

Formula

a(n) = A000217(n) * A219086(n) * A175110(n) * A359844(n) = A219086(n) * A175110(n) * A359844(n) = A359498(n) * A359499(n).

Prog

(PARI) a(n) = ((2*n+1)^16 - 1)/64
(Python)
def A359499(n): return ((n<<1)+1)**16-1>>6 # Chai Wah Wu, Jan 15 2023

Crossrefs

Cf. {((2*n+1)^2^k - 1)/2^(k+2)}: A000217 (k=1), A219086 (k=2), A359498 (k=3), this sequence (k=4).

Sequence in context: A084977 A049499 A068246 * A068248 A206324 A216000

Adjacent sequences: A359496 A359497 A359498 * A359500 A359501 A359502

Keyword

nonn,easy

Author

Jianing Song, Jan 03 2023

Status

approved