A286362 Compound filter: a(n) = P(A089309(n), A046523(n)), where P(n,k) is sequence A000027 used as a pairing function.

1, 2, 5, 7, 2, 23, 9, 29, 7, 16, 5, 80, 2, 31, 40, 121, 2, 67, 5, 67, 16, 23, 9, 302, 7, 16, 38, 94, 2, 532, 20, 497, 16, 16, 23, 631, 2, 23, 31, 277, 2, 436, 5, 80, 67, 31, 14, 1178, 7, 67, 23, 67, 2, 302, 31, 328, 16, 16, 5, 1957, 2, 50, 142, 2017, 16, 436, 5, 67, 16, 467, 9, 2557, 2, 16, 80, 80, 16, 499, 14, 1129, 121, 16, 5, 1771, 16, 23, 31, 302, 2, 1771

Offset

1,2

Comments

For all odd i, odd j: a(i) = a(j) <=> A286251(i) = A286251(j).

Links

Antti Karttunen, Table of n, a(n) for n = 1..16384

Eric Weisstein's World of Mathematics, Pairing Function

Formula

a(n) = (1/2)*(2 + ((A089309(n)+A046523(n))^2) - A089309(n) - 3*A046523(n)).

Prog

(Scheme) (define (A286362 n) (* (/ 1 2) (+ (expt (+ (A089309 n) (A046523 n)) 2) (- (A089309 n)) (- (* 3 (A046523 n))) 2)))

Crossrefs

Cf. A000027, A046523, A089309, A286161, A286251, A286365.

Sequence in context: A088531 A291756 A286463 * A361118 A361130 A361128

Adjacent sequences: A286359 A286360 A286361 * A286363 A286364 A286365

Keyword

nonn

Author

Antti Karttunen, May 08 2017

Status

approved