A133913 Array read by ascending antidiagonals generated from partial sums of A007001.

1, 1, 2, 1, 3, 1, 1, 4, 4, 2, 1, 5, 8, 6, 3, 1, 6, 13, 14, 9, 1, 1, 7, 19, 27, 23, 10, 2, 1, 8, 26, 46, 50, 33, 12, 1, 1, 9, 34, 72, 96, 83, 45, 13, 2, 1, 10, 43, 106, 168, 179, 128, 58, 15, 3, 1, 11, 53, 149, 274, 347, 307, 186, 73, 18, 1, 1, 12, 64, 202, 423, 621, 654, 493, 259, 91

Offset

1,3

Comments

Given A007001: (1, 2, 1, 2, 3, 1, 2, 1, ...) as first row of an array, n-th row = partial sum sequence of (n-1)-th row.

Row sums = A133914: (1, 3, 5, 11, 23, 44, 89, 177, 355, ...).

Right border = A007001: (1, 2, 1, 2, 3, 1, 2, 1, ...).

Links

Table of n, a(n) for n=1..76.

Example

First few rows of the array:
  1, 2,  1,  2,  3,   1,   2, ...
  1, 3,  4,  6,  9,  10,  12, ...
  1, 4,  8, 14, 23,  33,  45, ...
  1, 5, 13, 27, 50,  83, 128, ...
  1, 6, 19, 46, 96, 179, 307, ...
  ...
First few rows of the triangle:
  1;
  1,  2;
  1,  3,  1;
  1,  4,  4,   2;
  1,  5,  8,   6,   3;
  1,  6, 13,  14,   9,   1;
  1,  7, 19,  27,  23,  10,   2;
  1,  8, 26,  46,  50,  33,  12,  1;
  1,  9, 34,  72,  96,  83,  45, 13,  2;
  1, 10, 43, 106, 168, 179, 128, 58, 15, 3;
  ...

Crossrefs

Cf. A007001, A133912, A133914.

Sequence in context: A198788 A112543 A099478 * A209485 A209344 A294099

Adjacent sequences: A133910 A133911 A133912 * A133914 A133915 A133916

Keyword

nonn,tabl

Author

Gary W. Adamson, Sep 28 2007

Extensions

Edited by Jon E. Schoenfield, Mar 26 2022

Status

approved