A291752 Compound filter: a(n) = P(A101296(n), A291751(n)), where P(n,k) is sequence A000027 used as a pairing function.

1, 5, 8, 18, 17, 40, 30, 71, 58, 82, 23, 126, 80, 124, 124, 197, 57, 196, 138, 237, 214, 235, 93, 359, 256, 304, 356, 412, 327, 570, 173, 640, 469, 500, 469, 791, 498, 599, 634, 828, 255, 912, 668, 867, 909, 410, 408, 1237, 864, 1041, 410, 1087, 437, 1233, 410, 1283, 1132, 1180, 530, 1724, 1178, 707, 1437, 1967, 1435, 1779, 1433, 1717, 707, 1779, 353, 2361

Offset: 1

Author

Antti Karttunen, Sep 06 2017

Keywords

• nonn

Comments

This filter combines information about A101296(n) (prime signature of n, A046523), A003557(n) and A048250(n). - Antti Karttunen, Oct 08 2017

Links

• Antti Karttunen, Table of n, a(n) for n = 1..16385

Crossrefs

Cf. A000027, A003557, A046523, A048250, A101296, A291750, A291751.

Programs

Scheme

(define (A291752 n) (* (/ 1 2) (+ (expt (+ (A101296 n) (A291751 n)) 2) (- (A101296 n)) (- (* 3 (A291751 n))) 2)))

Formula

a(n) = (1/2)*(2 + ((A101296(n) + A291751(n))^2) - A101296(n) - 3*A291751(n)).

Extensions

Formula corrected by Antti Karttunen, Oct 08 2017