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 A290093 Compound filter (for base-3 digit runlengths): a(n) = P(A290091(n), A290092(n)), where P(n,k) is sequence A000027 used as a pairing function. 12
 1, 3, 2, 3, 10, 5, 2, 5, 7, 3, 21, 5, 10, 36, 14, 5, 27, 12, 2, 5, 16, 5, 14, 23, 7, 12, 29, 3, 21, 5, 21, 78, 27, 5, 27, 12, 10, 78, 14, 36, 136, 44, 14, 90, 25, 5, 27, 23, 27, 90, 61, 12, 42, 38, 2, 5, 16, 5, 14, 23, 16, 23, 67, 5, 27, 23, 14, 44, 40, 23, 61, 80, 7, 12, 67, 12, 25, 80, 29, 38, 121, 3, 21, 5, 21, 78, 27, 5, 27, 12, 21, 465, 27, 78, 300, 90, 27 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS For all i, j: a(i) = a(j) => A006047(i) = A006047(j) => A053735(i) = A053735(j). LINKS Antti Karttunen, Table of n, a(n) for n = 0..19683 FORMULA a(n) = (1/2)*(2 + ((A290091(n)+A290092(n))^2) - A290091(n) - 3*A290092(n)). PROG (Scheme) (define (A290093 n) (* (/ 1 2) (+ (expt (+ (A290091 n) (A290092 n)) 2) (- (A290091 n)) (- (* 3 (A290092 n))) 2))) CROSSREFS Cf. A000027, A278222, A289813, A289814, A290091, A290092. Cf. A006047, A053735, A290079 (some of the matched sequences). Sequence in context: A120879 A118064 A292024 * A186102 A170848 A078017 Adjacent sequences: A290090 A290091 A290092 * A290094 A290095 A290096 KEYWORD nonn AUTHOR Antti Karttunen, Jul 25 2017 STATUS approved

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Last modified December 2 09:50 EST 2023. Contains 367517 sequences. (Running on oeis4.)