A275668 - OEIS

A275668

First occurrence of a value in A268755: a(i) = j iff A268755(j) = i-1 and A268755(j+1) = 0.

1, 3, 5, 10, 12, 15, 33, 35, 39, 42, 45, 50, 58, 68, 75, 117, 119, 164, 180, 189, 194, 216, 236, 246, 249, 259, 262, 389, 391, 404, 420, 501, 552, 604, 609, 658, 825, 827, 888, 910, 946, 1035, 1049, 1088, 1160, 1229, 1279, 1535, 1537, 1577, 1600, 1603, 1613, 1652, 1677, 1687, 1736, 1744, 1784, 1796, 1847, 1910, 1975, 2214, 2397, 2426, 2561, 2615, 2629

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OFFSET

1,2

COMMENTS

Observe that a value k can appear in A268755 only after 0,1,...,k-1 have already appeared. This means that this sequence is strictly increasing.

Conjectured to be infinite (this is equivalent to the conjecture that every positive integer eventually appears in A268755). (Proof given in comments of A268755).

How fast does it grow? Experimentally, it seems like a(n) ~ n^t, with 1 < t <= 2.

LINKS

László Kozma, Table of n, a(n) for n = 1..1001

EXAMPLE

For n = 4, a(4) = 10, since the value 3 first appears in A268755 at position 10.

CROSSREFS

Cf. A268755, A181391.

Sequence in context: A284959 A336531 A285415 * A212537 A047389 A263652

Adjacent sequences: A275665 A275666 A275667 * A275669 A275670 A275671

KEYWORD

nonn

AUTHOR

László Kozma, Aug 04 2016

STATUS

approved