A126682 Square pyramid giving coefficients of Carlo Wood's polynomials, read by successive slices, each slice being read row by row.

1, 1, 1, 1, 3, 1, 3, 2, 2, 9, 7, 1, 6, 11, 1, 6, 11, 6, 3, 22, 45, 26, 3, 26, 69, 46, 1, 10, 35, 50, 1, 10, 35, 50, 24, 4, 45, 170, 255, 126, 6, 75, 320, 525, 274, 4, 55, 270, 545, 326, 1, 15, 85, 225, 274, 1, 15, 85, 225, 274, 120, 5, 81, 485, 1335, 1670, 744, 10

Offset

1,5

Comments

There is no standard method for converting a pyramid of numbers to a sequence. This seems as good a solution as any.

See the link for further information and more terms.

The first row of each slice seems to coincide with the first row of each slice of A335442. That row from the n-th slice seems to be the coefficients of the polynomial (x+1) * ... * (x+n-1), i.e., the reversed row n-1 of A130534. - Andrey Zabolotskiy, Jun 26 2022

Links

Table of n, a(n) for n=1..68.

N. J. A. Sloane, Notes on Carlo Wood's Polynomials

Example

Slice 1:
  1
Slice 2:
  1 1
  1 3
Slice 3:
  1  3  2
  2  9  7
  1  6 11
Slice 4:
  1  6 11  6
  3 22 45 26
  3 26 69 46
  1 10 35 50
Note that in Part 4 of the linked file, the order of the rows is reversed, while in its Part 1 the order of both rows and columns is reversed.

Crossrefs

Cf. A126671, A130534, A335442.

Sequence in context: A352931 A083208 A367454 * A016571 A055189 A106824

Adjacent sequences: A126679 A126680 A126681 * A126683 A126684 A126685

Keyword

nonn,tabf

Author

N. J. A. Sloane, Feb 14 2007

Extensions

The sole term 1 of slice 1 inserted by Andrey Zabolotskiy, Jun 26 2022

Status

approved