A099608 - OEIS

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A099608

Table of crystal ball sequences for A_n lattices read by antidiagonals.

1

1, 1, 1, 1, 3, 1, 1, 5, 7, 1, 1, 7, 19, 13, 1, 1, 9, 37, 55, 21, 1, 1, 11, 61, 147, 131, 31, 1, 1, 13, 91, 309, 471, 271, 43, 1, 1, 15, 127, 561, 1251, 1281, 505, 57, 1, 1, 17, 169, 923, 2751, 4251, 3067, 869, 73, 1, 1, 19, 217, 1415, 5321, 11253, 12559, 6637, 1405, 91, 1

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OFFSET

0,5

COMMENTS

Rows (n=0..10) are A000012, A005408, A003215, A005902, A008384, A008386, A008388, A008390, A008392, A008394, A008396.

Row reverse of A108625. - Peter Bala, Jul 18 2008

LINKS

Table of n, a(n) for n=0..65.

FORMULA

T(n, k)=hypergeom([n+1, -n, -k], [1, 1], 1).

PROG

(PARI) T(n, k)=sum(j=0, min(n, k), binomial(n+j, j)*binomial(n, j)*binomial(k, j))

CROSSREFS

T(n, n)=A005258(n), T(2n, n)=A099601(n).

Sequence in context: A183944 A145661 A119258 * A247285 A047969 A047812

Adjacent sequences: A099605 A099606 A099607 * A099609 A099610 A099611

KEYWORD

nonn,tabl

AUTHOR

Michael Somos, Oct 25 2004

STATUS

approved