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

1,2

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

Formula

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

Prog

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

Crossrefs

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

Sequence in context: A104321 A196934 A359949 * A237276 A155086 A219049

Adjacent sequences: A291749 A291750 A291751 * A291753 A291754 A291755

Keyword

nonn

Author

Antti Karttunen, Sep 06 2017

Extensions

Formula corrected by Antti Karttunen, Oct 08 2017

Status

approved