The OEIS is supported by the many generous donors to the OEIS Foundation.

 Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 60th year, we have over 367,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A300945 Rectangular array A(n, k) = hypergeom([-k, k + n/2 - 1], [1], -4) with row n >= 0 and k >= 0, read by ascending antidiagonals. 5
 1, 1, 1, 1, 3, 25, 1, 5, 43, 425, 1, 7, 65, 661, 7025, 1, 9, 91, 965, 10515, 116625, 1, 11, 121, 1345, 15105, 171097, 1951625, 1, 13, 155, 1809, 20995, 243525, 2828101, 32903225, 1, 15, 193, 2365, 28401, 337877, 4001345, 47284251, 558265825 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 LINKS Table of n, a(n) for n=0..44. EXAMPLE [0] 1, 1, 25, 425, 7025, 116625, 1951625, 32903225, ... [A299845] [1] 1, 3, 43, 661, 10515, 171097, 2828101, 47284251, ... [A299506] [2] 1, 5, 65, 965, 15105, 243525, 4001345, 66622085, ... [3] 1, 7, 91, 1345, 20995, 337877, 5544709, 92234527, ... [A243946] [4] 1, 9, 121, 1809, 28401, 458649, 7544041, 125700129, ... [A084769] [5] 1, 11, 155, 2365, 37555, 610897, 10098997, 168894355, ... [A243947] [6] 1, 13, 193, 3021, 48705, 800269, 13324417, 224028877, ... MATHEMATICA Arow[n_, len_] := Table[Hypergeometric2F1[-k, k + n/2 - 1, 1, -4], {k, 0, len}]; Table[Print[Arow[n, 7]], {n, 0, 6}]; CROSSREFS Cf. A299845, A299506, A243946, A084769, A243947. Cf. A300946. Sequence in context: A297481 A297533 A080202 * A234319 A224873 A085836 Adjacent sequences: A300942 A300943 A300944 * A300946 A300947 A300948 KEYWORD nonn,tabl AUTHOR Peter Luschny, Mar 16 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 | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 2 20:20 EST 2023. Contains 367526 sequences. (Running on oeis4.)