A257165 - OEIS

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A257165

a(n+1) = a(n) + smallest nonzero (and unused) integer embedded in a(n) as a contiguous subchain.

1, 2, 4, 8, 16, 22, 44, 88, 176, 183, 186, 204, 224, 248, 296, 305, 310, 320, 352, 387, 425, 450, 495, 544, 598, 657, 714, 728, 756, 812, 824, 906, 996, 1092, 1184, 1195, 1214, 1235, 1258, 1316, 1329, 1358, 1493

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OFFSET

1,2

LINKS

Table of n, a(n) for n=1..43.

EXAMPLE

If a(n)=1235, a(n+1) could only be 1235+1, or 1235+2, or 1235+3, or 1235+5, or 1235+12, or 1235+23, or 1235+35, or 1235+123, or 1235+235, or 1235+1235, depending on the numbers already used.

In fact, 1258 follows 1235 in the sequence, because 1235+23=1258, and 23 is the smallest subchain in 1235 that has not already been used up to this point (1,2,4,8,6,22,44,88,7,3, etc. are the numbers that have been used).

CROSSREFS

See A257350 for a variant.

Sequence in context: A063108 A161140 A257350 * A262224 A058961 A130917

Adjacent sequences: A257162 A257163 A257164 * A257166 A257167 A257168

KEYWORD

nonn,base

AUTHOR

Jean-Marc Falcoz, Apr 17 2015

STATUS

approved