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 A157221 A Eulerian tent triangle sequence: tent function: f(n,m)=If[k <= Floor[n/2], k, n - k]; t(n,m)=Eulerian[n*f[n, m], f[n, m]]. 0
 1, 1, 1, 1, 4, 1, 1, 11, 11, 1, 1, 26, 14608, 26, 1, 1, 57, 152637, 152637, 57, 1, 1, 120, 1479726, 251732291184, 1479726, 120, 1, 1, 247, 13824739, 16871482830550, 16871482830550, 13824739, 247, 1, 1, 502, 126781020, 1103881308184906 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 COMMENTS Row sums are: {1, 2, 6, 24, 14662, 305390, 251735250878, 33742993311074, 113909685422248854462458, 144084186112517513027508010, 4826601749538111416289955703874773044570,...}. LINKS FORMULA Tent function: f(n,m)=If[k <= Floor[n/2], k, n - k]; t(n,m)=Eulerian[n*f[n, m], f[n, m]]. EXAMPLE {1}, {1, 1}, {1, 4, 1}, {1, 11, 11, 1}, {1, 26, 14608, 26, 1}, {1, 57, 152637, 152637, 57, 1}, {1, 120, 1479726, 251732291184, 1479726, 120, 1}, {1, 247, 13824739, 16871482830550, 16871482830550, 13824739, 247, 1}, {1, 502, 126781020, 1103881308184906, 113909683214485984529600, 1103881308184906, 126781020, 502, 1}, {1, 1013, 1151775897, 71394276041525549, 72042092984864479320451545, 72042092984864479320451545, 71394276041525549, 1151775897, 1013, 1}, {1, 2036, 10414216090, 4591921534898186048, 45271666954175790151474783510, 4826601749447568082372420280481198669200, 45271666954175790151474783510, 4591921534898186048, 10414216090, 2036, 1} MATHEMATICA Clear[t, n, k]; t[n_, k_] := Sum[(-1)^j Binomial[n + 1, j](k + 1 - j)^n, {j, 0, k + 1}]; f[n_, k_] := If[k <= Floor[n/2], k, n - k]; Table[Table[t[n*f[n, k] + 1, f[n, k]], {k, 0, n}], {n, 0, 10}]; Flatten[%] CROSSREFS Sequence in context: A174526 A008292 A174036 * A146967 A173152 A156049 Adjacent sequences:  A157218 A157219 A157220 * A157222 A157223 A157224 KEYWORD nonn,tabl,uned AUTHOR Roger L. Bagula, Feb 25 2009 STATUS approved

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Last modified August 3 17:26 EDT 2020. Contains 336200 sequences. (Running on oeis4.)