

A134521


Triangle read by rows: T(n,k) = binomial(n,k) + (n + k) mod 2.


2



1, 2, 1, 1, 3, 1, 2, 3, 4, 1, 1, 5, 6, 5, 1, 2, 5, 11, 10, 6, 1, 1, 7, 15, 21, 15, 7, 1, 2, 7, 22, 35, 36, 21, 8, 1, 1, 9, 28, 57, 70, 57, 28, 9, 1, 2, 9, 37, 84, 127, 126, 85, 36, 10, 1, 1, 11, 45, 121, 210, 253, 210, 121, 45, 11, 1, 2, 11, 56, 165, 331, 462, 463, 330, 166, 55, 12, 1
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OFFSET

0,2


COMMENTS

Row sums = A134522: (1, 3, 5, 10, 18, 35, 67, ...).


LINKS



EXAMPLE

First few rows of the triangle:
1;
2, 1;
1, 3, 1;
2, 3, 4, 1;
1, 5, 6, 5, 1;
2, 5, 11, 10, 6, 1;
1, 7, 15, 21, 15, 7, 1;
...


PROG

(PARI) T(n, k)=if(k<=n, binomial(n, k) + (n+k)%2, 0) \\ Andrew Howroyd, Aug 10 2018


CROSSREFS



KEYWORD



AUTHOR



EXTENSIONS



STATUS

approved



