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A080597 Number of terms from the decimal expansion of Pi (A000796) which include every combination of n digits as consecutive subsequences. 4
33, 607, 8556, 99850, 1369565, 14118313, 166100507, 1816743913, 22445207407, 241641121049, 2512258603208 (list; graph; refs; listen; history; text; internal format)
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

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Last modified October 2 01:30 EDT 2022. Contains 357191 sequences. (Running on oeis4.)