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A014777
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Position of the start of the first occurrence of n after the decimal point in Pi = 3.14159265358979323846264338327950288...
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42
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32, 1, 6, 9, 2, 4, 7, 13, 11, 5, 49, 94, 148, 110, 1, 3, 40, 95, 424, 37, 53, 93, 135, 16, 292, 89, 6, 28, 33, 186, 64, 137, 15, 24, 86, 9, 285, 46, 17, 43, 70, 2, 92, 23, 59, 60, 19, 119, 87, 57, 31, 48, 172, 8, 191, 130, 210, 404, 10, 4, 127, 219, 20, 312, 22, 7, 117, 98, 605
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OFFSET
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0,1
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COMMENTS
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LINKS
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EXAMPLE
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In the decimal expansion of Pi, the string "0" is found at position 32 counting from the first digit after the decimal point. The string "1" is found at position 1, the string "2" at position 6, the string "3" at position 9, etc.
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MATHEMATICA
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Table[-1 + SequencePosition[#, IntegerDigits@ n][[1, 1]], {n, 0, 68}] &@ First@ RealDigits@ N[Pi, 10^4] (* Michael De Vlieger, Aug 10 2016, Version 10.1 *)
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PROG
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(Magma) k := 700; R := RealField(k); [ Position(IntegerToString(Round(10^k*(-3 + Pi(R)))), IntegerToString(n)) : n in [0..68] ]; /* Klaus Brockhaus, Feb 15 2007 */
(PARI) M14777=Map(); A014777(n)={iferr(mapget(M14777, n), E, my(i=if(n>9, A014777(n\10), 1), d=if(n, digits(n), [0]), j); while(i++, j=#d; until(!j, d[j]==A000796(i+j--) || next(2)); break); mapput(M14777, n, i--); i)} \\ M. F. Hasler, Jun 21 2022
(Python)
from mpmath import mp
if not (i := A014777.pos.get(n, 0)):
d = str(n); s = 2 # starting position for search
while (i := A014777.pi.find(d, s)) < 1:
s = max(len(A014777.pi) - len(d), 2)
with mp.workdps(s + 99 if s < 500 else s*6//5): # new precision
A014777.pi = str(mp.pi - 5/mp.mpf(10)**mp.dps) # don't round
return i
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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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EXTENSIONS
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STATUS
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approved
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