A075530 a(n) is the largest m such that n+1, n+2, ..., n+m are all members of the set X(n) given in A075529.

1, 1, 2, 3, 6, 13, 22, 39, 62, 117, 180, 367, 594, 1073, 1888, 3567

Offset

0,3

Links

Table of n, a(n) for n=0..15.

E. Ben-Naim and P. L. Krapivsky, Growth and Structure of Stochastic Sequences, J. Phys. A (2002).

E. Ben-Naim, Home page

Formula

Numbers so far suggest that a(n) = A003064(n) - n + 1, n>1. - Ralf Stephan, Mar 21 2004

Example

X(1) = {2} hence a(1)=1, X(2) = {3,4} hence a(2)=2,  X(3) = {4,5,6,8} hence a(3)=3.

Crossrefs

Sequence in context: A394894 A111503 A239326 * A032061 A350435 A155996

Adjacent sequences: A075527 A075528 A075529 * A075531 A075532 A075533

Keyword

nonn,more

Author

Eli Ben-Naim (ebn(AT)lanl.gov), Sep 19 2002

Extensions

Entry revised by Sean A. Irvine, Feb 20 2025

Status

approved