A080597 Number of terms from the decimal expansion of Pi (A000796) which include every combination of n digits as consecutive subsequences.

33, 607, 8556, 99850, 1369565, 14118313, 166100507, 1816743913, 22445207407, 241641121049, 2512258603208

Offset

1,1

Links

Table of n, a(n) for n=1..11.

Eric Weisstein's World of Mathematics, Constant Digit Scanning

Eric Weisstein's World of Mathematics, Pi Digits

Formula

a(n) = A036903(n) + 1. - Eric W. Weisstein, Sep 11 2013

Example

a(2) = 607 because the first 607 digits of Pi contain every conceivable 2-digit subsequence but the first 606 digits do not. The combination (6, 8) appears as 606th and 607th term in A000796.

Crossrefs

Cf. A000796 (decimal expansion of Pi).

Cf. A036903 (= a(n) - 1).

Cf. A032510 (last digit string when scanning the decimal expansion of Pi for all n-digit strings).

Sequence in context: A197361 A282926 A172362 * A076684 A181382 A252926

Adjacent sequences: A080594 A080595 A080596 * A080598 A080599 A080600

Keyword

more,nonn,base

Author

Martin Hasch (martin(AT)mathematik.uni-ulm.de), Feb 23 2003

Extensions

a(7)-a(8) from Piotr Idzik, Nov 01 2011

a(9)-a(11) from A036903(n) + 1 by Eric W. Weisstein, Sep 11 2013

Status

approved