A109820 Column 9 of array illustrated in A089574 and related to A034261.
6, 126, 992, 4921, 18450, 57198, 154420, 375106, 838075, 1749221, 3449895, 6485363, 11699374, 20362113, 34340211, 56319046, 90089305, 140911696, 215975810, 324971445, 480793226, 700402096, 1005870222, 1425639066, 1996023823, 2763001135, 3784320961, 5131987727, 6895160406, 9183525995, 12131205973
Offset: 0
Examples
The associated sequences begin for n = 15 through 19: ........................1.......5 ........................3.......18 ................3.......18......60 ........3.......18......60......150 1.......7.......25......65......140 ........................6.......42 ................12......84......324 ........12......84......324.....924 ........6.......42......162.....462 4.......32......132.....392.....952 ........................10......80 ................30......240.....1050 ........10......90......420.....1400 ........30......240.....1050....3360 1.......11......56......196.....546 ........................15......135 ................60......540.....2640 ........15......165.....900.....3420 ........................21......210 ................35......385.....2205 ........................28......308 ........................1.......19 therefore this sequence begins 6 126 992 4921 18450
Links
- Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).
Crossrefs
Formula
G.f. 6 -x*( 126 -394*x +939*x^2 -1911*x^3 +2803*x^4 -2825*x^5 +1964*x^6 -939*x^7 +298*x^8 -57*x^9 +5*x^10)/(x-1)^11 . - R. J. Mathar, Aug 28 2018
Extensions
More terms with the program of A105552 from R. J. Mathar, Aug 28 2018