A035358 k such that A035312(k-1) = n or 0 if there is none.

1, 2, 3, 4, 11, 5, 7, 16, 6, 22, 8, 12, 17, 29, 37, 56, 9, 23, 46, 67, 79, 92, 13, 30, 18, 10, 106, 137, 38, 121, 24, 172, 154, 47, 57, 68, 211, 191, 232, 14, 80, 31, 93, 254, 277, 326, 352, 19, 107, 596, 301, 436, 39, 379, 407, 25, 122, 138, 466, 529, 155, 497, 48

Offset

1,2

Comments

At least up through the first 19 terms (ending at 46), this appears to be identical to the inverse of sequence A035312 considered as a permutation of the positive integers. - Howard A. Landman, Sep 23 2001

This sequence is *by definition* the inverse of A035312 (upon shifting its offset), provided that A035312 indeed is surjective on the positive integers. - M. F. Hasler, May 09 2013

Links

Reinhard Zumkeller, Table of n, a(n) for n = 1..1000

A. C. Zorach, Additive triangle

Reinhard Zumkeller, Haskell programs for sequences in connection with Zorach additive triangle

Index entries for sequences that are permutations of the natural numbers

Formula

a(n) = A000217(A072039(n) - 1) + A072038(n) if the sequence is in fact the inverse permutation of the flattened Zorach additive triangle. - Reinhard Zumkeller, Apr 30 2011

Prog

(Haskell) -- See link for Haskell program.

Crossrefs

Cf. A035311, A035312, A035313.

Sequence in context: A068910 A146027 A305619 * A265351 A065633 A160652

Adjacent sequences: A035355 A035356 A035357 * A035359 A035360 A035361

Keyword

nonn

Author

Christian G. Bower, Nov 15 1998

Status

approved