|
| |
|
|
A141259
|
|
a(n) == {0,1,3,4,5,7,9,11} mod 12; n>0.
|
|
2
| |
|
|
1, 3, 4, 5, 7, 9, 11, 12, 13, 15, 16, 17, 19, 21, 23, 24, 25, 27, 28, 29, 31, 33, 35, 36, 37, 39, 40, 41, 43, 45, 47, 48, 49, 51, 52
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,2
|
|
|
COMMENTS
| A141260 = characteristic function of A141259 such that A141260(n) = 1 if n is in A141259; 0 otherwise.
First difference is periodic: 2,1,1,2,2,2,1,1. [From Paolo P. Lava (paoloplava(AT)gmail.com), Feb 11 2009]
|
|
|
LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (2,-2,2,-2,2,-2,2,-1).
|
|
|
FORMULA
| a(n) = {0,1,3,4,5,7,9,11} mod 12; n>0.
a(n)=(1/56)*Sum{k=0..n-1}{3*(k mod 8)+10*[(k+1) mod 8]+3*[(k+2) mod 8]+3*[(k+3) mod 8]-4*[(k+4) mod 8]+3*[(k+5) mod 8]+10*[(k+6) mod 8]-4*[(k+7) mod 8]}, with n>=1 [From Paolo P. Lava (paoloplava(AT)gmail.com), Feb 11 2009]
G.f. (1+x)*(x^5+x^3+1) / ( (x^2+1)*(x^4+1)*(x-1)^2 ). - R. J. Mathar, Nov 21 2011
|
|
|
EXAMPLE
| a(16) = 24, == 0 mod 12
|
|
|
CROSSREFS
| Cf. A141260.
Sequence in context: A112930 A003159 A187691 * A047501 A035242 A190941
Adjacent sequences: A141256 A141257 A141258 * A141260 A141261 A141262
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 18 2008
|
| |
|
|
