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URL: https://oeis.org/A316863

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A316863
Number of times 2 appears in the decimal expansion of n.
10
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
OFFSET
0,23
LINKS
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
f:= n -> numboccur(2, convert(n, base, 10)):
map(f, [$0..200]); # Robert Israel, Apr 21 2020
MATHEMATICA
Array[ DigitCount[#, 10, 2] &, 105, 0]
PROG
(PARI) a(n) = #select(x->x==2, digits(n)); \\ Michel Marcus, Jul 20 2018
KEYWORD
base,easy,nonn
AUTHOR
Robert G. Wilson v, Jul 15 2018
STATUS
approved