A332431 - OEIS

A332431

a(n) = floor(2^n/(-1 + cot(1/n))).

-6, 4, 4, 5, 8, 12, 21, 36, 64, 114, 205, 373, 684, 1262, 2344, 4375, 8202, 15437, 29155, 55236, 104940, 199872, 381551, 729884, 1398878, 2685731, 5164672, 9946439, 19181836, 37039772, 71608456, 138593905, 268520221, 520756816, 1010863710, 1963933206

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OFFSET

1,1

LINKS

Table of n, a(n) for n=1..36.

FORMULA

a(n) = floor(2^n/(-1 + cot(1/n))).

MATHEMATICA

z = 50; u = Table[Floor[2^n/(1 - Cos[1/n])], {n, 1, z}] (* A332430 *)

v = Table[Floor[2^n/(-1 + Cot[1/n])], {n, 1, z}] (* A332431 *)

u - v (* A332432 *)

w = Table[Floor[2^n/(1 - Cos[1/n]) - 2^n/(-1 + Cot[1/n])], {n, 1, z}]