A124842 Triangle, row sums = A005614, the rabbit sequence.

1, 1, -1, 1, -2, 2, 1, -3, 6, -3, 1, -4, 12, -12, 3, 1, -5, 20, -30, 15, 0, 1, -6, 30, -60, 45, 0, -10, 1, -7, 42, -105, 105, 0, -70, 35, 1, -8, 56, -168, 210, 0, -280, 280, -90

Offset: 1

Author

Gary W. Adamson, Nov 10 2006

Keywords

• sign
• tabl

Examples

			First few rows of the triangle are:
1;
1, -1;
1, -2, 2;
1, -3, 6, -3;
1, -4, 12, -12, 3;
1, -5, 20, -30, 15, 0;
1, -6, 30, -60, 45, 0, -10;
...
4th term of the rabbit sequence (1, 0, 1, 1, 0...) = 1 = sum of row 4 terms: (1, - 3 + 6 - 3).
		

Crossrefs

Cf. A124841.

Formula

Binomial transform of the infinite matrix with the diagonalized sequence A124841.