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!)
 A008283 Read across rows of Euler-Bernoulli or Entringer triangle. 0
 1, 2, 4, 5, 10, 14, 16, 32, 46, 56, 61, 122, 178, 224, 256, 272, 544, 800, 1024, 1202, 1324, 1385, 2770, 4094, 5296, 6320, 7120, 7664, 7936, 15872, 23536, 30656, 36976, 42272, 46366, 49136, 50521, 101042, 150178, 196544, 238816, 275792, 306448, 329984, 345856 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 3,2 LINKS V. I. Arnold, The calculus of snakes and the combinatorics of Bernoulli, Euler and Springer numbers of Coxeter groups, Uspekhi Mat. nauk., 47 (#1, 1992), 3-45 = Russian Math. Surveys, Vol. 47 (1992), 1-51. English version. J. Millar, N. J. A. Sloane and N. E. Young, A new operation on sequences: the Boustrophedon transform, J. Combin. Theory, 17A (1996) 44-54 (Abstract, pdf, ps). C. Poupard, De nouvelles significations énumeratives des nombres d'Entringer, Discrete Math., 38 (1982), 265-271. EXAMPLE This is a sub-triangle of A008282, starting in row 3 of A008282 and then proceeding as a regular triangle. [ 3] 1 [ 4] 2, 4 [ 5] 5, 10, 14 [ 6] 16, 32, 46, 56 [ 7] 61, 122, 178, 224, 256 [ 8] 272, 544, 800, 1024, 1202, 1324 [ 9] 1385, 2770, 4094, 5296, 6320, 7120, 7664 [10] 7936, 15872, 23536, 30656, 36976, 42272, 46366, 49136 [11] 50521, 101042, 150178, 196544, 238816, 275792, 306448, 329984, 345856 MAPLE T := proc(n, k) option remember; if k = 0 then `if`(n = 0, 1, 0) else T(n, k - 1) + T(n - 1, n - k) fi end: seq(seq(T(n, k-2), k = 3..n), n = 3..11); # Peter Luschny, Feb 17 2021 MATHEMATICA T[n_, k_] := T[n, k] = If[k == 0, If[n == 0, 1, 0], T[n, k - 1] + T[n - 1, n - k]]; Table[Table[T[n, k - 2], {k, 3, n}], {n, 3, 11}] // Flatten (* after Peter Luschny *) CROSSREFS Cf. A008282. Sequence in context: A218936 A264855 A154318 * A002237 A329136 A067935 Adjacent sequences: A008280 A008281 A008282 * A008284 A008285 A008286 KEYWORD nonn,tabl AUTHOR 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 3 07:15 EST 2022. Contains 358512 sequences. (Running on oeis4.)