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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
OFFSET
0,2
COMMENTS
For all i, j: a(i) = a(j) => A006047(i) = A006047(j) => A053735(i) = A053735(j).
LINKS
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. A006047, A053735, A290079 (some of the matched sequences).
Sequence in context: A120879 A118064 A292024 * A186102 A170848 A078017
KEYWORD
nonn
AUTHOR
Antti Karttunen, Jul 25 2017
STATUS
approved