A079166 Square array read by antidiagonals of T(n,k)=(4k-2)*T(n,k-1)+T(n,k-2) with T(n,0)=1 and T(n,1)=n.

1, 0, 1, 1, 1, 1, 10, 7, 2, 1, 141, 71, 13, 3, 1, 2548, 1001, 132, 19, 4, 1, 56197, 18089, 1861, 193, 25, 5, 1, 1463670, 398959, 33630, 2721, 254, 31, 6, 1, 43966297, 10391023, 741721, 49171, 3581, 315, 37, 7, 1, 1496317768, 312129649, 19318376, 1084483

Offset

0,7

Links

Table of n, a(n) for n=0..48.

Formula

T(n, k) =2*T(n-1, k)-T(n-2, k). T(n, k)/T(1, k) tends to ( (n-1)*e - (n-3) )/2 as k increases: e.g. T(3, k)/T(1, k) tends to e.

Example

Rows start: 1,0,1,10,141,2548,56197,...; 1,1,7,71,1001,18089,398959,...; 1,2,13,132,1861,33630,741721,...; 1,3,19,193,2721,49171,1084483,...; etc.

Crossrefs

Rows include A002119 (unsigned), A079165, A001517. Columns include A000012, A001477, A016921 (offset).

Sequence in context: A349845 A358394 A248153 * A332980 A246662 A246651

Adjacent sequences: A079163 A079164 A079165 * A079167 A079168 A079169

Keyword

nonn,tabl

Author

Henry Bottomley, Dec 31 2002

Status

approved