cp's OEIS Frontend

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

%I A109126 #5 Aug 28 2018 09:44:07
%S A109126 18,207,1198,4825,15448,42168,102297,226530,466357,904352,1668083,
%T A109126 2948502,5023797,8289819,13298336,20804513,31825172,47709549,70224436,
%U A109126 101655775,144928958,203750282,282772211,387785308,525939919,706000918,938639057,1236762708,1615894035,2094593893
%N A109126 Column 8 of array illustrated in A089574 and related to A034261.
%H A109126 <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (10,-45,120,-210,252,-210,120,-45,10,-1).
%F A109126 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
%e A109126 The associated partitions begin (for n = 14, 15, 16, ...
%e A109126 ................1.......5.......14
%e A109126 ................3.......18......60
%e A109126 ........3.......18......60......150
%e A109126 3.......18......60......150.....315
%e A109126 ................6.......42......162
%e A109126 ........12......84......324.....924
%e A109126 4.......32......132.....392.....952
%e A109126 6.......42......162.....462.....1092
%e A109126 ................10......80......350
%e A109126 ........30......240.....1050....3360
%e A109126 5.......50......245.....840.....2310
%e A109126 ................15......135.....660
%e A109126 ........20......200.....1040....3840
%e A109126 ................21......210.....1134
%e A109126 ................1.......17......125
%e A109126 therefore this sequence begins
%e A109126 18 207 1198 4825 15448 ...
%Y A109126 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).
%K A109126 easy,nonn
%O A109126 0,1
%A A109126 _Alford Arnold_, Jun 22 2005
%E A109126 More terms with the program of A105552 from _R. J. Mathar_, Aug 28 2018