A093052 -id:A093052 - cp's OEIS frontend

A093050 Exponent of 2 in (3^n-3)*2^(n-1).

0, 0, 3, 2, 6, 4, 7, 6, 11, 8, 11, 10, 14, 12, 15, 14, 20, 16, 19, 18, 22, 20, 23, 22, 27, 24, 27, 26, 30, 28, 31, 30, 37, 32, 35, 34, 38, 36, 39, 38, 43, 40, 43, 42, 46, 44, 47, 46, 52, 48, 51, 50, 54, 52, 55, 54, 59, 56, 59, 58, 62, 60, 63, 62, 70, 64, 67, 66, 70

Offset: 0

Ralf Stephan, Mar 16 2004

nonn

Cf. A090740, A093051, A093052.

a(n) is the exponent of 2 in A016129(n-1), A024281(n), A024287(n), A066406(n)/2, A071952(n+3).

a(n)=if(n<1,0,if(n%2==0,a(n/2)+2*floor((n+2)/4)+1,n-1))

Recurrence: a(2n) = a(n) + [(n+1)/2] + 1, a(2n+1) = 2n.
G.f.: Sum_{k>=0} t^2(3+2t+2t^3-t^4)/[(1+t^2)(1-t^2)^2], t=x^2^k.
a(n) = A093051(n) - 1 = A090740(n) + n - 2, for n >= 1. - Amiram Eldar, Sep 14 2024

A093051 Exponent of 2 in (3^n-3)*2^n.

Original entry on oeis.org

0, 1, 4, 3, 7, 5, 8, 7, 12, 9, 12, 11, 15, 13, 16, 15, 21, 17, 20, 19, 23, 21, 24, 23, 28, 25, 28, 27, 31, 29, 32, 31, 38, 33, 36, 35, 39, 37, 40, 39, 44, 41, 44, 43, 47, 45, 48, 47, 53, 49, 52, 51, 55, 53, 56, 55, 60, 57, 60, 59, 63, 61, 64, 63, 71, 65, 68, 67, 71

Offset: 0

Ralf Stephan, Mar 16 2004

nonn

a(n) is the exponent of 2 in A009613(n), A010043(n), A010046(n), A012388(n-1), A009518(n), A012391(n-1), A012457(n-1), A012458(n-1), A012461(n-1), A012462(n-2).

Cf. A093050, A093052, A090740.

a(n)=if(n<1,0,if(n%2==0,a(n/2)+2*floor((n+2)/4)+1,n))

Recurrence: a(2n) = a(n) + [(n+1)/2] + 1, a(2n+1) = 2n+1.

a(n) = A090740(n) + n - 1, for n >= 1. - Amiram Eldar, Sep 14 2024

cp's OEIS Frontend

A093050 Exponent of 2 in (3^n-3)*2^(n-1).

Views

Author

Keywords

Crossrefs

Programs

PARI

Formula