This site is supported by donations to The OEIS Foundation.

 Annual appeal: Please make a donation to keep the OEIS running! Over 6000 articles have referenced us, often saying "we discovered this result with the help of the OEIS". Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A176492 Triangle T(n,k) = A176492(n,k) + A008292(n+1,k+1) - 1 read along rows 0<=k<=n. 1
 1, 1, 1, 1, 13, 1, 1, 45, 45, 1, 1, 129, 365, 129, 1, 1, 353, 2293, 2293, 353, 1, 1, 965, 12937, 28397, 12937, 965, 1, 1, 2677, 69261, 290993, 290993, 69261, 2677, 1, 1, 7561, 360853, 2661809, 4987461, 2661809, 360853, 7561, 1, 1, 21705, 1852053, 22618437 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 COMMENTS Row sums are 1, 2, 15, 92, 625, 5294, 56203, 725864, 11047909, 193052642, 3795725791,.... LINKS EXAMPLE 1; 1, 1; 1, 13, 1; 1, 45, 45, 1; 1, 129, 365, 129, 1; 1, 353, 2293, 2293, 353, 1; 1, 965, 12937, 28397, 12937, 965, 1; 1, 2677, 69261, 290993, 290993, 69261, 2677, 1; 1, 7561, 360853, 2661809, 4987461, 2661809, 360853, 7561, 1; , 21705, 1852053, 22618437, 72034125, 72034125, 22618437, 1852053, 21705, 1; 1, 63117, 9421457, 182707997, 926399717, 1558541213, 926399717, 182707997, 9421457, 63117, 1; MAPLE A176492 := proc(n, k)     A176491(n, k)+A008292(n+1, k+1)-1 ; end proc: # R. J. Mathar, Jun 16 2015 MATHEMATICA (*A060187*) p[x_, n_] = (1 - x)^(n + 1)*Sum[(2*k + 1)^n*x^k, {k, 0, Infinity}]; f[n_, m_] := CoefficientList[FullSimplify[ExpandAll[p[x, n]]], x][[m + 1]]; << DiscreteMath`Combinatorica`; t[n_, m_, 0] := Binomial[n, m]; t[n_, m_, 1] := Eulerian[1 + n, m]; t[n_, m_, 2] := f[n, m]; t[n_, m_, q_] := t[n, m, q] = t[n, m, q - 2] + t[n, m, q - 3] - 1; Table[Flatten[Table[Table[t[n, m, q], {m, 0, n}], {n, 0, 10}]], {q, 0, 10}] CROSSREFS Cf. A007318, A008292, A060187, A176487. Sequence in context: A141596 A108477 A176204 * A174731 A174694 A156539 Adjacent sequences:  A176489 A176490 A176491 * A176493 A176494 A176495 KEYWORD nonn,tabl,easy AUTHOR Roger L. Bagula, Apr 19 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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.