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A008829
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Smallest number a(n) formed from consecutive sequences of digits of Pi and satisfying a(n) > a(n-1); first 3 is omitted.
(Formerly N1424)
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4
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1, 4, 15, 92, 653, 5897, 9323, 84626, 433832, 795028, 841971, 6939937, 51058209, 74944592, 307816406, 2862089986, 28034825342, 1170679821480, 8651328230664, 70938446095505, 82231725359408, 128481117450284, 1027019385211055
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OFFSET
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1,2
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COMMENTS
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Terms are not permitted to start with a 0, so when this would otherwise occur the 0 must be included in the previous term, for example, a(18). - Sean A. Irvine, Apr 07 2018
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REFERENCES
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N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
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LINKS
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MATHEMATICA
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pi = Rest@ RealDigits[Pi, 10, 2500][[1]]; a[0] = 0; a[n_] := a[n] = Block[{k = 1}, While[ FromDigits[ Take[pi, {1, k}]] < a[n - 1], k++]; While[ pi[[k + 1]] == 0, k++]; b = FromDigits[Take[pi, {1, k}]]; pi = Drop[pi, k]; b]; Array[a, 50] (* Robert G. Wilson v, Apr 08 2018 *)
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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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N. J. A. Sloane. This sequence appeared in the 1973 "Handbook", but was then dropped from the database. Resubmitted by Victor H. Auerbach (vhambler(AT)voicenet.com). Entry revised by N. J. A. Sloane, Jun 11 2012
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EXTENSIONS
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STATUS
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approved
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