A028275 Elements in 4-Pascal triangle (by row).

1, 1, 1, 1, 4, 1, 1, 5, 5, 1, 1, 6, 10, 6, 1, 1, 7, 16, 16, 7, 1, 1, 8, 23, 32, 23, 8, 1, 1, 9, 31, 55, 55, 31, 9, 1, 1, 10, 40, 86, 110, 86, 40, 10, 1, 1, 11, 50, 126, 196, 196, 126, 50, 11, 1, 1, 12, 61, 176, 322, 392, 322, 176, 61, 12, 1, 1, 13, 73, 237, 498, 714, 714, 498, 237

Offset: 0

Author

Mohammad K. Azarian

Keywords

• easy
• nonn

Examples

			1; 1 1; 1 4 1; 1 5 5 1; 1 6 10 6 1; ...
		

Crossrefs

Cf. A028262, A028313.

Formula

Apart from first 3 rows, use the Pascal rule.

T(n, k) = C(n, k) + 2C(n-2, k-1). G.f.: (1+2x^2y) / [1-x(1+y)]. - Ralf Stephan, Jan 31 2005

Extensions

More terms from Ben Baugher (s1191623(AT)cedarville.edu)