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

0,1

Links

Table of n, a(n) for n=0..30.

Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).

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

Example

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

Crossrefs

Cf. A109126.

Cf. A000330 (column 2), A086602 (column 3), A089574 (column 4), A107600 (column 5), A107601 (column 6), A109125 (column 7), A109126 (column 8), A109820 (column 9), A108538 (column 10), A109821 (column 11), A110553 (column 12), A110624 (column 13).

Sequence in context: A331837 A254544 A268685 * A228290 A370715 A004993

Adjacent sequences: A109817 A109818 A109819 * A109821 A109822 A109823

Keyword

easy,nonn

Author

Alford Arnold, Jul 03 2005

Extensions

More terms with the program of A105552 from R. J. Mathar, Aug 28 2018

Status

approved