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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
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
Sequence in context: A258158 A364715 A042859 * A114085 A195378 A260561
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.)