A156930 G.f. of the z^3 coefficients of the FP1 in the fourth column of the A156921 matrix

119, 1654, 5784, -57421, -974120, -8191112, -51264392, -266367722, -1204269647, -4832097594, -17187443308, -52433219783, -120342975558, -58288009528, 1603731045044, 13940518848356

Offset

3,1

Links

Table of n, a(n) for n=3..18.

Formula

a(n)=40*a(n-1)-755*a(n-2)+8946*a(n-3)-74677*a(n-4)+467156*a(n-5)-2274363*a(n-6)+8833486*a(n-7)-27833039*a(n-8)+71958408*a(n-9)-153781873*a(n-10)+272810702*a(n-11)-402324879*a(n-12)+492639700*a(n-13)-498877265*a(n-14)+414825042*a(n-15)-280100140*a(n-16)+151065320*a(n-17)-63500432*a(n-18)+20037984*a(n-19)-4463424*a(n-20)+625536*a(n-21)-41472*a(n-22)

G.f.: GF3(z;m=3) = z^3*( 119-3106*z+29469*z^2-104585*z^3-220481*z^4+3601363*z^5-15487305*z^6+34949165*z^7-39821950*z^8+4356011*z^9+46881744*z^10-51274736*z^11+ 9005908*z^12+14663472*z^13-5205168*z^14-1456704*z^15-20736*z^16)/((1-z)^10*(1-2*z)^7*(1-3*z)^4*(1-4*z))

Crossrefs

Cf. A156927

Equals fourth column of A156921

Other columns A156928, A156929, A156931

Sequence in context: A362320 A355377 A067134 * A263128 A048397 A020529

Adjacent sequences: A156927 A156928 A156929 * A156931 A156932 A156933

Keyword

easy,sign

Author

Johannes W. Meijer, Feb 20 2009

Status

approved