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

Author

Alford Arnold, Jun 22 2005

Keywords

• easy
• nonn

Examples

			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 ...
		

Links

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

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).

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

Extensions

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