A291752 - OEIS

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A291752

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

5

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

(list; graph; refs; listen; history; text; internal format)

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