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A008829 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)
4
1, 4, 15, 92, 653, 5897, 9323, 84626, 433832, 795028, 841971, 6939937, 51058209, 74944592, 307816406, 2862089986, 28034825342, 1170679821480, 8651328230664, 70938446095505, 82231725359408, 128481117450284, 1027019385211055 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
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
REFERENCES
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
LINKS
MATHEMATICA
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 *)
CROSSREFS
Cf. A000796. Apart from the two initial terms equals A016062.
Sequence in context: A076900 A346941 A081011 * A322920 A332533 A013193
KEYWORD
nonn,base
AUTHOR
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
EXTENSIONS
a(19)-a(20) corrected and more terms from Sean A. Irvine, Apr 07 2018
STATUS
approved

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Last modified March 29 04:23 EDT 2024. Contains 371264 sequences. (Running on oeis4.)