A156929 G.f. of the z^2 coefficients of the FP1 in the third column of the A156921 matrix

-6, -79, -515, -2255, -7321, -17280, -20052, 73530, 683280, 3482667, 14574887, 55023247, 194872885, 661036370, 2174736558, 6996176016, 22133771190, 69145507605, 213941135265, 657095902685

Offset

2,1

Links

Table of n, a(n) for n=2..21.

Formula

a(n)=18*a(n-1)-146*a(n-2)+706*a(n-3)-2268*a(n-4)+5102*a(n-5)-8246*a(n-6)+9654*a(n-7)-8131*a(n-8)+4808*a(n-9)-1896*a(n-10)+448*a(n-11)-48*a(n-12)

a(n)= 1/18*n^6+1/2*n^5+169/72*n^4-n^3*2^(n+1)+29/4*n^3-9*n^2*2^n+ 1123/72*n^2 -37*n*2^n+ 101/4*n-90*2^n+135/2*3^n+45/2

G.f.: GF3(z;m=2) = z^2*(-6+29*z+31*z^2-283*z^3+245*z^4+298*z^5-286*z^6-108*z^7)/((1-z)^7*(1-2*z)^4*(1-3*z))

Crossrefs

Cf. A156927

Equals third column of A156921

Other columns A156928, A156930, A156931

Sequence in context: A053771 A294992 A093033 * A123796 A184553 A129524

Adjacent sequences: A156926 A156927 A156928 * A156930 A156931 A156932

Keyword

easy,sign

Author

Johannes W. Meijer, Feb 20 2009

Status

approved