A014073 Number of vectors abcdefg with a,b,... >= 0, a+...+g=n, a>={b,...g}.

1, 1, 7, 22, 48, 93, 180, 331, 567, 918, 1434, 2180, 3232, 4669, 6596, 9142, 12459, 16725, 22148, 28960, 37428, 47860, 60612, 76079, 94702, 116970, 143438, 174721, 211489, 254481, 304520, 362503, 429407, 506290, 594309, 694722

Offset

0,3

Links

Table of n, a(n) for n=0..35.

Formula

(1-3*x+10*x^2 -7*x^3+7*x^4+4*x^5+6*x^6+4*x^7+7*x^8-7*x^9+10*x^10-3*x^11+x^12)*(1+x^4)*(1+x)/((1-x^7)*(1-x^6)*(1-x^5)*(1-x^4)*(1-x)^3).

Crossrefs

Sequence in context: A299283 A244243 A223833 * A288114 A369549 A129109

Adjacent sequences: A014070 A014071 A014072 * A014074 A014075 A014076

Keyword

nonn

Author

David Broadhurst

Status

approved