This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A297898 Triangle read by rows, T(n, k) = (-1)^(n-k)*binomial(n,k)*hypergeom([k - n, n + 1], k + 1, 2), for n >= 0 and 0 <= k <= n. 0
 1, 3, 1, 13, 4, 1, 63, 19, 5, 1, 321, 96, 26, 6, 1, 1683, 501, 138, 34, 7, 1, 8989, 2668, 743, 190, 43, 8, 1, 48639, 14407, 4043, 1059, 253, 53, 9, 1, 265729, 78592, 22180, 5908, 1462, 328, 64, 10, 1, 1462563, 432073, 122468, 33028, 8378, 1966, 416, 76, 11, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS EXAMPLE Triangle starts: [0]    1 [1]    3,    1 [2]   13,    4,   1 [3]   63,   19,   5,   1 [4]  321,   96,  26,   6,  1 [5] 1683,  501, 138,  34,  7, 1 [6] 8989, 2668, 743, 190, 43, 8, 1 MATHEMATICA T[n_, k_] := (-1)^(n - k) Binomial[n, k] Hypergeometric2F1[k - n, n + 1, k + 1, 2]; Table[T[n, k], {n, 0, 9}, {k, 0, n}] // Flatten CROSSREFS T(n, 0) = A001850(n). Row sums are A050146(n+1). Sequence in context: A134768 A295827 A277197 * A322384 A113139 A266577 Adjacent sequences:  A297895 A297896 A297897 * A297899 A297900 A297901 KEYWORD nonn,tabl AUTHOR Peter Luschny, Jan 08 2018 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 October 23 03:21 EDT 2019. Contains 328335 sequences. (Running on oeis4.)