A133914 -id:A133914 - cp's OEIS frontend

A133912 First differences of A007001.

1, 1, -1, 1, 1, -2, 1, -1, 1, 1, -2, 1, 1, 1, -3, 1, -1, 1, 1, -2, 1, -1, 1, 1, -2, 1, 1, 1, -3, 1, -1, 1, 1, -2, 1, 1, 1, -3, 1, 1, 1, 1, -4, 1, -1, 1, 1, -2, 1, -1, 1, 1, -2, 1, 1, 1, -3, 1, -1, 1, 1, -2, 1, -1, 1, 1, -2, 1, 1, 1, -3, 1, -1, 1, 1, -2, 1, 1, 1, -3, 1, 1, 1, 1, -4, 1, -1, 1, 1, -2, 1, -1, 1, 1, -2, 1, 1, 1, -3, 1, -1, 1, 1, -2, 1

Offset: 1

Gary W. Adamson, Sep 28 2007

sign

			a(5) = 1 = A007001(5) - A007001(4) = (3 - 2).

Cf. A007001, A133913, A133914.

More terms from Colin Barker, Apr 19 2015

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

Original entry on oeis.org

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

Gary W. Adamson, Sep 28 2007

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, ...).

			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;
  ...

Cf. A007001, A133912, A133914.

Edited by Jon E. Schoenfield, Mar 26 2022

cp's OEIS Frontend

A133912 First differences of A007001.

Views

Author

Keywords

Examples

Crossrefs

Extensions