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

Thanks to everyone who made a donation during our annual appeal!
To see the list of donors, or make a donation, see the OEIS Foundation home page.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A174005 An antidiagonal triangle based on: t(n,q) = If[n == 0, 1, Sum[Eulerian[n, k]*q^n, {k, 1, n, 2}]]. 0
 1, 1, 1, 4, 2, 1, 12, 8, 3, 1, 52, 30, 12, 4, 1, 360, 260, 60, 16, 5, 1, 2656, 2562, 780, 108, 20, 6, 1, 20160, 23408, 8568, 1768, 180, 24, 7, 1, 177472, 262950, 94752, 20580, 3380, 282, 28, 8, 1, 1814400, 3594620, 1467840, 277984, 41160, 5772, 420, 32, 9, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS Row sums are {1, 2, 7, 24, 99, 702, 6133, 54116, 559453, 7202238, ...}. LINKS FORMULA t(n,q) = If[n == 0, 1, Sum[Eulerian[n, k]*q^n, {k, 1, n, 2}]]. EXAMPLE {1}, {1, 1}, {4, 2, 1}, {12, 8, 3, 1}, {52, 30, 12, 4, 1}, {360, 260, 60, 16, 5, 1}, {2656, 2562, 780, 108, 20, 6, 1}, {20160, 23408, 8568, 1768, 180, 24, 7, 1}, {177472, 262950, 94752, 20580, 3380, 282, 28, 8, 1}, {1814400, 3594620, 1467840, 277984, 41160, 5772, 420, 32, 9, 1} MATHEMATICA Clear[t, n, q, a] << DiscreteMath`Combinatorica` t[n_, q_] = If[n == 0, 1, Sum[Eulerian[n + 1, k]*q^k, {k, 1, n, 2}]]; a = Table[Table[t[n, q], {n, 0, 10}], {q, 1, 11}]; Table[Table[a[[m, n - m + 1]], {m, 1, n}], {n, 1, 10}]; Flatten[%] CROSSREFS Sequence in context: A049429 A328647 A183158 * A152818 A302235 A242861 Adjacent sequences:  A174002 A174003 A174004 * A174006 A174007 A174008 KEYWORD nonn,tabl,uned AUTHOR Roger L. Bagula, Mar 05 2010 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 January 20 14:26 EST 2020. Contains 331094 sequences. (Running on oeis4.)