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A259443
The position of the first occurrence in the decimal expansion of Pi of n identical digits.
1
1, 3, 10, 24, 25, 27, 43, 45, 55, 58, 62, 79, 80, 100, 107, 113, 124, 134, 147, 150, 152, 161, 171, 186, 197, 204, 205, 222, 228, 233, 236, 255, 267, 273, 278, 293, 296, 303, 321, 334, 337, 354, 373, 380, 386, 392, 400, 432, 437, 438, 442, 445, 446, 471, 483, 490, 494, 495, 499
OFFSET
1,2
COMMENTS
A test for normality.
LINKS
FORMULA
a(n) ~ 10*n and a(n-1) < a(n).
a(10) = 58, a(100) = 882, a(1000) = 9619, a(10000) = 98564, a(100000) = 996482.
EXAMPLE
a(2) = 3 since the digit 1 occurs twice by the third place in the decimal expansion of Pi, i.e., "141".
a(3) = 10 since the digit 5 occurs three times by the tenth place in the decimal expansion of Pi, i.e., "1415926535".
MATHEMATICA
pi3 = RealDigits[Pi - 3, 10, 1000][[1]]; f[n_] := f[n] = Block[{k = f[n - 1] + 1}, While[ Max[ Transpose[ Tally[ Take[pi3, k]]][[2]]] != n, k++]; k]; f[0] = 0; Array[f, 60]
CROSSREFS
Sequence in context: A041327 A231116 A272953 * A293405 A383579 A029880
KEYWORD
base,easy,nonn
AUTHOR
STATUS
approved