A068046 Palindromes of length greater than 1 in decimal expansion of Pi (not showing leading 0's).

141, 535, 979, 323, 46264, 626, 33, 383, 88, 939, 3993, 99, 494, 44, 8998, 99, 11, 808, 32823, 282, 66, 44, 55, 505, 22, 535, 848, 11, 111, 11, 11, 55, 555, 55, 6446, 44, 22, 303, 44, 88, 5665, 66, 33, 44, 33, 19091, 909, 66, 454, 66, 33, 393, 141, 27372, 737, 0, 660, 66, 606, 55, 88, 88, 282, 292, 171, 0

Offset

1,1

Comments

The n-th palindrome starts at A068047(n) and has length A068048(n).

Is this sequence well-defined? For example, how do we know that 141... is not the start of the some very long palindrome in Pi? - Sean A. Irvine, Jan 19 2024

Links

Alois P. Heinz, Table of n, a(n) for n = 1..10000

Example

Pi = 3.141592653589793238462643383279502884197169399375 ...
a(2) = 535, as the second nontrivial palindrome in Pi is '535', starting at A068047(2) = 9 with length A068048(2) = 3.

Mathematica

pi = RealDigits[ Pi, 10, 600][[1]]; palQ[n_] := n == Reverse[n]; k = 1; lst = {}; While[j = k + 1;  k < 600, While[j < 600 - k, If[ palQ[ Take[pi, {k, j}]], p = FromDigits[ Take[ pi, {k, j}]]; AppendTo[ lst, p]; Print[p]]; j++]; k++]; lst Robert G. Wilson v, Jun 11 2013

Crossrefs

Cf. A000796, A068047, A068048.

Sequence in context: A145192 A228597 A255154 * A186954 A235760 A201814

Adjacent sequences: A068043 A068044 A068045 * A068047 A068048 A068049

Keyword

nonn,look,base

Author

Reinhard Zumkeller, Feb 11 2002

Status

approved