login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A096812 Forwards row convergent of triangle A096811, in which A096811(n,k) equals the k-th term of the convolution of the two prior rows indexed by (n-k) and (k-2). 4
1, 1, 1, 2, 4, 8, 16, 34, 72, 156, 336, 746, 1652, 3696, 8330, 18816, 42904, 98166, 225148, 518386, 1199966, 2778270, 6472492, 15097226, 35311946, 82744656, 194406728, 457526278, 1078889548, 2549790238, 6034719500, 14305107700, 33965903292, 80747360636, 192219095518, 458252713872, 1093494859572, 2613290156486, 6251109118574, 14970041423150 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,4
COMMENTS
Backwards row convergent of A096811 is A096813.
LINKS
FORMULA
a(0)=a(1)=1; for n>1, a(n) = Sum_{k=0..n-2} A096811(n-2, n-k-2)*a(k+1).
PROG
(PARI) {A096811(n, k)=if(n<k || k<0, 0, if(k<=1 || k==n, 1, sum(j=1, k-1, A096811(n-k, j)*A096811(k-2, k-j-1))))} \ {a(n)=if(n<0, 0, if(n<=1, 1, sum(k=0, n-2, T(n-2, n-k-2)*a(k+1))))}
CROSSREFS
Sequence in context: A288260 A006210 A288176 * A006981 A003427 A333647
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Jul 20 2004
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 19 03:33 EDT 2024. Contains 370952 sequences. (Running on oeis4.)