A022332 Exponent of 2 (value of i) in n-th number of form 2^i*5^j.

0, 1, 2, 0, 3, 1, 4, 2, 0, 5, 3, 1, 6, 4, 2, 0, 7, 5, 3, 1, 8, 6, 4, 2, 9, 0, 7, 5, 3, 10, 1, 8, 6, 4, 11, 2, 9, 0, 7, 5, 12, 3, 10, 1, 8, 6, 13, 4, 11, 2, 9, 0, 7, 14, 5, 12, 3, 10, 1, 8, 15, 6, 13, 4, 11, 2, 9, 16, 0, 7, 14, 5, 12, 3, 10, 17, 1, 8, 15, 6, 13, 4, 11, 18, 2, 9, 16, 0, 7, 14, 5, 12, 19, 3, 10

Offset

1,3

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

Formula

a(n) = A007814(A003592(n)). - Amiram Eldar, Feb 07 2020

Maple

A022332 := proc(n)
    A007814(A003592(n)) ;
end proc:
seq(A022332(n), n=1..20) ; # R. J. Mathar, Aug 04 2016

Mathematica

s = {}; m = 12; Do[n = 5^k; While[n <= 5^m, AppendTo[s, n]; n *= 2], {k, 0, m}]; IntegerExponent[#, 2] & /@ Union[s]

Prog

(PARI) lista(len)= my(m=5, p=0, r=List([1]), v); while(#r<len, while((v=r[p++]*2)<m, listput(~r, v)); listput(~r, m); m*=5; p--); [valuation(e, 2)|e<-r[1..len]]; \\ Ruud H.G. van Tol, Mar 10 2026

Crossrefs

Cf. A003592, A007814, A022333.

Sequence in context: A029178 A082375 A025644 * A215589 A274185 A161162

Adjacent sequences: A022329 A022330 A022331 * A022333 A022334 A022335

Keyword

nonn

Author

Clark Kimberling

Extensions

Corrected by David W. Wilson, Oct 15 1997

Status

approved