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A257165
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a(n+1) = a(n) + smallest nonzero (and unused) integer embedded in a(n) as a contiguous subchain.
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1
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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
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1,2
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LINKS
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EXAMPLE
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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).
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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