A109126 Column 8 of array illustrated in A089574 and related to A034261.

18, 207, 1198, 4825, 15448, 42168, 102297, 226530, 466357, 904352, 1668083, 2948502, 5023797, 8289819, 13298336, 20804513, 31825172, 47709549, 70224436, 101655775, 144928958, 203750282, 282772211, 387785308, 525939919, 706000918, 938639057, 1236762708, 1615894035, 2094593893

Offset

0,1

Links

Table of n, a(n) for n=0..29.

Index entries for linear recurrences with constant coefficients, signature (10,-45,120,-210,252,-210,120,-45,10,-1).

Formula

G.f. ( 18+27*x -62*x^2 +48*x^4 -13*x^5 -27*x^6 +24*x^7 -8*x^8 +x^9 ) / (x-1)^10 . - R. J. Mathar, Aug 28 2018

Example

The associated partitions begin (for n = 14, 15, 16, ...
................1.......5.......14
................3.......18......60
........3.......18......60......150
3.......18......60......150.....315
................6.......42......162
........12......84......324.....924
4.......32......132.....392.....952
6.......42......162.....462.....1092
................10......80......350
........30......240.....1050....3360
5.......50......245.....840.....2310
................15......135.....660
........20......200.....1040....3840
................21......210.....1134
................1.......17......125
therefore this sequence begins
18 207 1198 4825 15448 ...

Crossrefs

Cf. A105552, A000330 (column 2), A086602 (column 3), A089574 (column 4), A107600 (column 5), A107601 (column 6), A109125 (column 7), A109820 (column 9), A108538 (column 10), A109821 (column 11), A110553 (column 12), A110624 (column 13).

Sequence in context: A282020 A277763 A028025 * A022742 A055528 A304202

Adjacent sequences: A109123 A109124 A109125 * A109127 A109128 A109129

Keyword

easy,nonn

Author

Alford Arnold, Jun 22 2005

Extensions

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

Status

approved