A316863 - OEIS

A316863

Number of times 2 appears in the decimal expansion of n.

0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0

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OFFSET

0,23

LINKS

Robert Israel, Table of n, a(n) for n = 0..10000

FORMULA

G.f.: (1-x)^(-1)*Sum_{k>=0} (x^(2*10^k)-x^(3*10^k))/(1-x^(10^(k+1))). - Robert Israel, Apr 21 2020

EXAMPLE

a(0) = 0 since the decimal representation of 0 does not contain the digit 2.

a(2) = 1 since 2 appears once in the decimal expansion of 2.

a(22) = 2 since 2 appears twice in the decimal expansion of 22.

MAPLE