A164819 Numbers n such that n-th digit (after decimal point) of Pi and of Euler-Mascheroni constant gamma are the same.

7, 32, 33, 40, 42, 43, 67, 72, 126, 133, 135, 137, 140, 158, 166, 169, 170, 182, 186, 191, 199, 204, 245, 246, 248, 266, 274, 284, 297, 313, 321, 329, 330, 344, 352, 372, 382, 389, 407, 419, 429, 435, 442, 458, 463, 487, 492, 495, 501, 505, 506, 551, 555, 570

Offset

1,1

Links

Table of n, a(n) for n=1..54.

Formula

Presumably a(n) ~ 10n. - Charles R Greathouse IV, Sep 18 2012

Example

Pi = 3.1415926535..., gamma = 0.5772156649...; seventh digit of Pi and seventh digit of gamma are both 6, hence 7 is in the sequence.

Maple

P:=proc(i) local a, b, n; a:=convert(evalf(gamma, 1000), string); b:=convert(evalf(Pi-3, 1000), string); for n from 2 by 1 to i do if substring(a, n)=substring(b, n) then print(n-1); fi; od; end: P(900);

Prog

(Magma) m:=600; p:=Pi(RealField(m+1)); sp:=IntegerToString(Round(10^m*(p-3))); g:=EulerGamma(RealField(m)); sg:=IntegerToString(Round(10^m*g)); [ a: a in [1..m] | sp[a] eq sg[a] ]; // Klaus Brockhaus, Sep 03 2009

Crossrefs

Cf. A068394, A164820.

Sequence in context: A193637 A214490 A360261 * A067811 A044084 A044465

Adjacent sequences: A164816 A164817 A164818 * A164820 A164821 A164822

Keyword

easy,nonn,base

Author

Paolo P. Lava and Giorgio Balzarotti, Aug 27 2009

Extensions

Edited and listed terms verified by Klaus Brockhaus, Sep 03 2009

Status

approved