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 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A295444 a(n) = (12*n)!*(2*n)!/((9*n)!*(4*n)!*n!). 1
 1, 110, 28842, 8558480, 2679559018, 864609808860, 284430822189360, 94838361498813504, 31937586416482122090, 10837486229625098253938, 3699768692414430886979092, 1269247320827841357100956000, 437197260018920565848972207920, 151108564566619626342188272922000, 52379783376231201890753924949502656, 18202391389394546898846524075693898480 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS FORMULA G.f.: hypergeom([1/12, 1/6, 5/12, 1/2, 7/12, 5/6, 11/12], [1/9, 2/9, 4/9, 5/9, 7/9, 8/9], 262144/729*x). MATHEMATICA f[n_] := (12n)! (2n)!/((9n)! (4n)! n!); Array[f, 14, 0] (* or *)CoefficientList[ Series[ HypergeometricPFQ[{1/12, 1/6, 5/12, 1/2, 7/12, 5/6, 11/12}, {1/9, 2/9, 4/9, 5/9, 7/9, 8/9}, 262144/729 x], {x, 0, 13}], x] (* Robert G. Wilson v, Nov 23 2017 *) CROSSREFS Cf. A295431. Sequence in context: A097580 A216786 A350320 * A295436 A246635 A139478 Adjacent sequences: A295441 A295442 A295443 * A295445 A295446 A295447 KEYWORD nonn AUTHOR Gheorghe Coserea, Nov 23 2017 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 7 08:24 EST 2022. Contains 358649 sequences. (Running on oeis4.)