|
| |
|
|
A154699
|
|
Terms in A014217 pairwise swapped.
|
|
0
| |
|
|
1, 1, 4, 2, 11, 6, 29, 17, 76, 46, 199, 122, 521, 321, 1364, 842, 3571, 2206, 9349, 5777, 24476, 15126, 64079, 39602, 167761, 103681, 439204, 271442, 1149851, 710646, 3010349, 1860497, 7881196, 4870846, 20633239, 12752042
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,3
|
|
|
COMMENTS
| We can build an auxiliary b(n)=a(n+1)-2a(n) = -1,2,-6,7,..., its bisection b(2n)=a(2n+2)-2a(2n), then take the first differences b(2n+2)-b(2n) = a(2n+4)-3*a(2n+2)+2*a(2n) = -5, -10, -25, -65 and have obtained -A106729(n).
|
|
|
FORMULA
| a(2n)=A014217(2n+1). a(2n+1)=A014217(2n).
a(n)=4*a(n-2)-4*(n-4)+a(n-6). G.f.: (1+x-2x^3-x^4+2x^5)/((1-x)(1+x)(x^2+x-1)(x^2-x-1)). [R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 23 2009]
|
|
|
CROSSREFS
| Sequence in context: A191728 A191434 A163918 * A185878 A182870 A094406
Adjacent sequences: A154696 A154697 A154698 * A154700 A154701 A154702
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Paul Curtz (bpcrtz(AT)free.fr), Jan 14 2009
|
|
|
EXTENSIONS
| Edited and extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 23 2009
|
| |
|
|
