The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A185786 Third accumulation array of A107985, by antidiagonals. 2
 1, 6, 6, 21, 35, 21, 56, 120, 120, 56, 126, 315, 405, 315, 126, 252, 700, 1050, 1050, 700, 252, 462, 1386, 2310, 2695, 2310, 1386, 462, 792, 2520, 4536, 5880, 5880, 4536, 2520, 792, 1287, 4290, 8190, 11466, 12740, 11466, 8190, 4290, 1287, 2002, 6930, 13860, 20580, 24696, 24696, 20580, 13860, 6930, 2002, 3003, 10725, 22275, 34650 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS See A185784. The pattern established by the formulas for A185785, A185786, A185787, suggests that the H-th accumulation array of A107985 may be given by   T(n,k)=(n+k+H)C(n+H,H+1)C(k+H,H+1)/(H+2). LINKS G. C. Greubel, Table of n, a(n) for the first 50 rows, flattened FORMULA T(n,k) = (n+k+3)*C(n+3,4)*C(k+3,4)/5. EXAMPLE Northwest corner: 1....6.....21.....56.....126 6....35....120....315....700 21...120...405....1050...2310 56...315...1050...2695...5880 MATHEMATICA (See A185784.) f[n_, k_] := Binomial[k + 3, 4]*Binomial[n + 3, 4]*(n + k + 3)/5; Table[f[n - k + 1, k], {n, 10}, {k, n, 1, -1}] // Flatten (* G. C. Greubel, Jul 12 2017 *) CROSSREFS Cf. A185784. Sequence in context: A198340 A189980 A188273 * A341245 A178822 A253069 Adjacent sequences:  A185783 A185784 A185785 * A185787 A185788 A185789 KEYWORD nonn,tabl AUTHOR Clark Kimberling, Feb 03 2011 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified June 20 09:55 EDT 2021. Contains 345162 sequences. (Running on oeis4.)