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A286362 Compound filter: a(n) = P(A089309(n), A046523(n)), where P(n,k) is sequence A000027 used as a pairing function. 3
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 (list; graph; refs; listen; history; text; internal format)
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 * A309200 A097964 A133133

Adjacent sequences:  A286359 A286360 A286361 * A286363 A286364 A286365

KEYWORD

nonn

AUTHOR

Antti Karttunen, May 08 2017

STATUS

approved

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Last modified May 7 16:00 EDT 2021. Contains 343652 sequences. (Running on oeis4.)