A378692
G.f. A(x) satisfies A(x) = 1 + x*A(x)^7/(1 - x*A(x)).
Original entry on oeis.org
1, 1, 8, 86, 1075, 14667, 211799, 3182454, 49243854, 779379652, 12558073022, 205312307834, 3397359326116, 56790504859929, 957574385205771, 16267419813629731, 278162968238908681, 4783813617177604232, 82691541747420586716, 1435895455224032519430, 25035634270828781060188
Offset: 0
-
a(n, r=1, s=1, t=7, u=1) = r*sum(k=0, n, binomial(t*k+u*(n-k)+r, k)*binomial(n+(s-1)*k-1, n-k)/(t*k+u*(n-k)+r));
A378686
G.f. A(x) satisfies A(x) = ( 1 + x*A(x)^(7/3)/(1 - x*A(x)) )^3.
Original entry on oeis.org
1, 3, 27, 313, 4122, 58584, 875897, 13577139, 216224616, 3516601243, 58160887857, 975211608399, 16539799297342, 283243124783136, 4890858070498203, 85060240453556192, 1488653675438168001, 26197808077514204832, 463311206395709908936, 8229849868810254813378
Offset: 0
-
a(n, r=3, s=1, t=7, u=3) = r*sum(k=0, n, binomial(t*k+u*(n-k)+r, k)*binomial(n+(s-1)*k-1, n-k)/(t*k+u*(n-k)+r));
A378688
G.f. A(x) satisfies A(x) = 1 + x*A(x)^7/(1 - x*A(x)^2).
Original entry on oeis.org
1, 1, 8, 87, 1100, 15173, 221449, 3362472, 52571486, 840658030, 13685005046, 226034078091, 3778561589470, 63808500324629, 1086892630726300, 18652582726212792, 322197108441548095, 5597514211552503858, 97741241871353705160, 1714482398765781043424
Offset: 0
-
a(n, r=1, s=1, t=7, u=2) = r*sum(k=0, n, binomial(t*k+u*(n-k)+r, k)*binomial(n+(s-1)*k-1, n-k)/(t*k+u*(n-k)+r));
A378693
G.f. A(x) satisfies A(x) = ( 1 + x*A(x)^(7/6)/(1 - x*A(x)) )^6.
Original entry on oeis.org
1, 6, 63, 806, 11445, 173388, 2745470, 44891118, 752141682, 12845874594, 222813745704, 3914269052736, 69501455945987, 1245309605501088, 22488056019050124, 408861223600687710, 7478056231521533658, 137496627558561863460, 2540015518588821201453
Offset: 0
-
a(n, r=6, s=1, t=7, u=6) = r*sum(k=0, n, binomial(t*k+u*(n-k)+r, k)*binomial(n+(s-1)*k-1, n-k)/(t*k+u*(n-k)+r));
Showing 1-4 of 4 results.