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 A258157 Indices of the start of 10 successive distinct digits in the decimal expansion of Pi. 4
 61, 62, 5471, 5472, 7116, 8669, 12769, 16546, 18806, 18960, 22260, 23573, 26400, 29094, 29383, 30026, 31121, 36106, 36223, 46432, 53222, 53655, 54014, 56108, 56630, 56762, 59717, 66868, 69532, 70815, 71597, 73937, 74181, 88937, 91918, 106693, 107810, 109174 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS It is natural to conjecture that a(n) ~ 1562500n/567. - Charles R Greathouse IV, May 22 2015 LINKS Giovanni Resta, Table of n, a(n) for n = 1..10000 FORMULA a(n) = A280183(n) + 1. - Bobby Jacobs, Jan 03 2017 EXAMPLE 61 is in the sequence because the 10 digits starting at the 61st digit of Pi are 4, 5, 9, 2, 3, 0, 7, 8, 1, 6. MATHEMATICA pan[s_, n_]:=Select[Range[Length@s-n+1], Length@ Union@ Take[s, {#, #+n-1}]==n&]; pan[RealDigits[Pi, 10, 10^5][[1]], 10] (* Giovanni Resta, May 22 2015 *) PROG (PARI) default(realprecision, 50080); infix(v, a, b) = {my(i, s=[]); for(i=a, b, s=concat(s, v[i])); s} panpi(m) = { L=List(); p=Pi; for(n=1, 50000, d=floor(p); p=(p-d)*10; listput(L, d)); v=Vec(L); s=[]; for(k=1, #v-m+1, in=infix(v, k, k+m-1); if(#in==#vecsort(in, , 8), s=concat(s, k))); s } panpi(10) CROSSREFS Cf. A000796, A258158, A280182, A280183. Sequence in context: A258158 A364715 A042859 * A114085 A195378 A260561 Adjacent sequences: A258154 A258155 A258156 * A258158 A258159 A258160 KEYWORD nonn,base AUTHOR Colin Barker, May 22 2015 EXTENSIONS a(21)-a(38) from Giovanni Resta, May 22 2015 STATUS approved

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Last modified March 2 08:59 EST 2024. Contains 370461 sequences. (Running on oeis4.)