A255560 One-based row index of n in array A255555.

1, 2, 1, 2, 3, 4, 1, 2, 5, 3, 4, 6, 7, 8, 1, 2, 9, 5, 3, 10, 11, 4, 6, 12, 7, 8, 13, 14, 15, 16, 1, 2, 17, 9, 5, 18, 19, 3, 10, 20, 11, 4, 21, 22, 23, 6, 12, 24, 7, 8, 25, 26, 13, 14, 27, 15, 16, 28, 29, 30, 31, 32, 1, 2, 33, 17, 9, 34, 35, 5, 18, 36, 19, 3, 37, 38, 39, 10, 20, 40, 11, 4, 41, 42, 21, 22, 43, 23, 6

Offset

1,2

Comments

Equally: One-based column index of n in array A255557.

Links

Antti Karttunen, Table of n, a(n) for n = 1..8192

Formula

a(1) = 1; for n > 1, if A213714(n) = 0 [i.e., if n is one of the terms of A055938], then a(n) = 1+A234017(n), otherwise a(n) = a(A213714(n)-1).

In other words, a(1) = 1, and for n > 1, if n = A055938(k) for some k, then a(n) = k+1, otherwise it must be that n = A005187(h) for some h, in which case a(n) = a(h-1).

Prog

(Scheme, with memoization-macro definec)
(definec (A255560 n) (cond ((= 1 n) n) ((zero? (A213714 n)) (+ 1 (A234017 n))) (else (A255560 (+ -1 (A213714 n))))))

Crossrefs

Cf. A005187, A055938, A213714, A234017, A255555, A255557.

Cf. also A255559 (corresponding column index).

Cf. A254112, A256990.

Sequence in context: A233972 A169778 A309776 * A328472 A046653 A308897

Adjacent sequences: A255557 A255558 A255559 * A255561 A255562 A255563

Keyword

nonn

Author

Antti Karttunen, Apr 14 2015

Status

approved