cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-2 of 2 results.

A106327 Row sums of triangle in A106243 (or A106242).

Original entry on oeis.org

1, 1, 2, 8, 43, 289, 2324, 21728, 231357, 2762593, 36548198, 530521688, 8381982711, 143178565569, 2629132373736, 51642704174656, 1080444526772505, 23985750533829185, 563129733452254922, 13940268462137558888
Offset: 0

Views

Author

N. J. A. Sloane, May 29 2005

Keywords

Extensions

More terms from Joshua Zucker, May 18 2006

A106243 Triangle read by rows from left to right. However, triangle is constructed in the boustrophedon way, reading alternately right to left and left to right. Top entry is 1. In all later rows, initial entry is 0, other entries are sum of previous entry in that row plus sum of two entries above it in previous row.

Original entry on oeis.org

1, 0, 1, 1, 1, 0, 0, 2, 3, 3, 13, 13, 11, 6, 0, 0, 26, 50, 67, 73, 73, 505, 505, 479, 403, 286, 146, 0, 0, 1010, 1994, 2876, 3565, 3997, 4143, 4143, 39313, 39313, 38303, 35299, 30429, 23988, 16426, 8286, 0, 0, 78626, 156242, 229844, 295572, 349989, 390403
Offset: 0

Views

Author

N. J. A. Sloane, May 29 2005

Keywords

Examples

			Triangle begins:
            1
          0   1
        1   1   0
      0   2   3   3
   13  13  11   6   0   (e.g., 11 = 6 + 3 + 2)
  0  26  50  67  73  73 (e.g., 50 = 26 + 13 + 11)
		

Crossrefs

Cf. A007318, A008280, A008281, A106242. The row ends give A059294. Row sums give A106327.

Programs

  • Maple
    T[0,0]:=1: for n from 0 to 12 do T[n,-1]:=0 od: for n from 0 to 12 do T[n,n+1]:=0 od: for n from 1 by 2 to 12 do T[n,0]:=0: for k from 1 to n do T[n,k]:=T[n,k-1]+T[n-1,k]+T[n-1,k-1] od: T[n+1,n+1]:=0: for j from 1 to n+1 do T[n+1,n+1-j]:=T[n+1,n+2-j]+T[n,n+1-j]+T[n,n-j] od: od: for n from 0 to 9 do seq(T[n,k],k=0..n) od; # yields sequence in triangular form; not necessarily the best Maple program # Emeric Deutsch, Aug 03 2005

Extensions

More terms from Emeric Deutsch, Aug 03 2005
Showing 1-2 of 2 results.