A085475 - OEIS

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A085475

Square array of binomial related numbers, read by antidiagonals.

3

0, 1, 0, 1, 1, 0, 1, 5, 1, 0, 1, 10, 9, 1, 0, 1, 15, 31, 13, 1, 0, 1, 21, 69, 64, 17, 1, 0, 1, 28, 126, 195, 109, 21, 1, 0, 1, 36, 210, 456, 425, 166, 25, 1, 0, 1, 45, 330, 923, 1231, 791, 235, 29, 1, 0, 1, 55, 495, 1716, 2975, 2751, 1325, 316, 33, 1, 0, 1, 66, 715, 3003, 6427

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

0,8

COMMENTS

Rows include A016813, A085473, A085474.

LINKS

Table of n, a(n) for n=0..70.

FORMULA

T(n, k)=C(2n+k, k)-C(2n, k).

EXAMPLE

Rows begin

0 0 0 0 0 ...

1 1 1 1 1 ...

1 5 9 13 17 ...

1 10 31 64 109 ...

1 15 69 195 425 ...

CROSSREFS

Sequence in context: A336169 A007912 A019755 * A211399 A265192 A157012

Adjacent sequences: A085472 A085473 A085474 * A085476 A085477 A085478

KEYWORD

easy,nonn,tabl

AUTHOR

Paul Barry, Jul 01 2003

STATUS

approved