A286593 - OEIS

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A286593

Compound filter (the length of rightmost run of 1's in base-2 & deficiency/abundance): a(n) = P(A089309(n), A286449(n)), where P(n,k) is sequence A000027 used as a pairing function.

1, 1, 5, 1, 4, 12, 24, 1, 16, 2, 30, 38, 37, 13, 32, 1, 46, 56, 80, 79, 22, 107, 139, 138, 137, 22, 173, 18, 172, 175, 281, 1, 67, 154, 122, 211, 232, 57, 139, 254, 277, 121, 327, 8, 37, 381, 439, 408, 407, 436, 212, 11, 466, 138, 564, 598, 562, 596, 668, 784, 704, 258, 196, 1, 352, 121, 782, 22, 301, 38, 864, 821, 862, 562, 632, 47, 631, 156, 1039, 947, 407

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

OFFSET

1,3

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..10000

Eric Weisstein's World of Mathematics, Pairing Function

FORMULA

a(n) = (1/2)*(2 + ((A089309(n)+A286449(n))^2) - A089309(n) - 3*A286449(n)).

PROG

(Scheme) (define (A286593 n) (* (/ 1 2) (+ (expt (+ (A089309 n) (A286449 n)) 2) (- (A089309 n)) (- (* 3 (A286449 n))) 2)))

CROSSREFS

Cf. A000027, A033879, A033880, A089309, A286449, A286592, A286595.