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A162406 a(0)=1. a(n) = a(n-1) + (the largest value among (a(0),a(1),...a(n-1)) that when written in binary occurs as a substring in the binary representation of n). 3
1, 2, 4, 5, 9, 14, 16, 17, 21, 30, 35, 40, 44, 49, 63, 64, 80, 97, 106, 115, 120, 141, 146, 151, 155, 164, 169, 174, 188, 202, 232, 233, 249, 265, 282, 317, 326, 335, 344, 353, 393, 402, 423, 444, 488, 493, 507, 512, 528, 577, 586, 595, 600, 621, 626, 631, 645 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Robert G. Wilson v, Table of n, a(n) for n = 0..1000. [From Robert G. Wilson v, Aug 01 2009]

MATHEMATICA

a[0] = 1; a[n_] := a[n] = a[n - 1] + Max@ Select[ Table[ a@i, {i, 0, n - 1}], StringPosition[ ToString@ FromDigits@ IntegerDigits[n, 2], ToString@ FromDigits@ IntegerDigits[ #, 2]] != {} &]; Table[ a@n, {n, 0, 53}] (* Robert G. Wilson v, Aug 01 2009 *)

CROSSREFS

Cf. A162404, A162407.

Sequence in context: A234588 A118550 A126697 * A129282 A073153 A073154

Adjacent sequences:  A162403 A162404 A162405 * A162407 A162408 A162409

KEYWORD

base,nonn

AUTHOR

Leroy Quet, Jul 02 2009

EXTENSIONS

More terms beginning with a(12) from Robert G. Wilson v, Aug 01 2009

STATUS

approved

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Last modified September 27 07:30 EDT 2022. Contains 357052 sequences. (Running on oeis4.)