A238384 Triangle of numbers related to A075535.

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 3, 2, 1, 1, 1, 1, 2, 3, 3, 2, 1, 1, 1, 1, 2, 3, 4, 3, 2, 1, 1, 1, 1, 2, 3, 4, 4, 3, 2, 1, 1, 1, 1, 2, 3, 4, 6, 4, 3, 2, 1, 1, 1, 1, 2, 3, 4, 6, 6, 4, 3, 2, 1, 1, 1, 1, 2, 3, 4, 6

Offset

0,13

Comments

Triangle read by rows; each row is an initial segment of the terms of A075535 followed by its reflection.

Links

Table of n, a(n) for n=0..83.

Formula

T(2n,n) = A075535(n+1).

Sum_{k=0..n} T(n,k) = A075535(n+2).

Example

Triangle begins:
1;
1, 1;
1, 1, 1;
1, 1, 1, 1;
1, 1, 2, 1, 1;
1, 1, 2, 2, 1, 1;
1, 1, 2, 3, 2, 1, 1;
1, 1, 2, 3, 3, 2, 1, 1;
1, 1, 2, 3, 4, 3, 2, 1, 1;
1, 1, 2, 3, 4, 4, 3, 2, 1, 1;
1, 1, 2, 3, 4, 6, 4, 3, 2, 1, 1;
1, 1, 2, 3, 4, 6, 6, 4, 3, 2, 1, 1;
1, 1, 2, 3, 4, 6, 8, 6, 4, 3, 2, 1, 1;
1, 1, 2, 3, 4, 6, 8, 8, 6, 4, 3, 2, 1, 1;
1, 1, 2, 3, 4, 6, 8,11, 8, 6, 4, 3, 2, 1, 1;

Crossrefs

Cf. A075535.

Sequence in context: A259094 A306741 A274193 * A139040 A139147 A055801

Adjacent sequences: A238381 A238382 A238383 * A238385 A238386 A238387

Keyword

easy,nonn,tabl

Author

Philippe Deléham, Feb 25 2014

Status

approved