A279370 - OEIS

A279370

Numerators of coefficients in expansion of (cos(sqrt(x)))/(1 + cos(sqrt(x))).

1, -1, -1, -17, -31, -691, -5461, -929569, -3202291, -221930581, -4722116521, -56963745931, -14717667114151, -2093660879252671, -86125672563201181, -129848163681107301953, -868320396104950823611, -209390615747646519456961, -14129659550745551130667441

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OFFSET

0,4

COMMENTS

Differs from A089171 in signs; see Formula.

LINKS

Clark Kimberling, Table of n, a(n) for n = 0..1000

FORMULA

For odd n and for n = 0, we have a(n) = A089171(n); for positive even n, however, a(n) = -A089171(n)

EXAMPLE

(1/2) - (1/8)x - (1/48)x^2 - (17/5760)x^3 + ... ; 1/2, - 1/8, - 48/2, - 17/5760, ... = A279370/A279109.

MATHEMATICA