A352609 Inverse Euler transform of odd primes.

3, -1, 0, 2, -4, 6, -8, 7, 0, -14, 40, -73, 88, -70, -4, 194, -524, 926, -1234, 1078, 140, -3038, 7900, -14065, 18858, -16368, -2710, 48861, -127826, 228788, -306494, 263377, 55144, -829014, 2160120, -3865459, 5172792, -4405043, -1118324, 14530041, -37606792, 67159094

Offset

1,1

Links

Table of n, a(n) for n=1..42.

Formula

Product_{n>=1} 1 / (1 - x^n)^a(n) = 1 + Sum_{n>=1} prime(n+1) * x^n.

Crossrefs

Cf. A006005, A030010, A030011, A065091, A353065.

Sequence in context: A307765 A308077 A336344 * A198345 A104416 A194582

Adjacent sequences: A352606 A352607 A352608 * A352610 A352611 A352612

Keyword

sign

Author

Ilya Gutkovskiy, Apr 22 2022

Status

approved