login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A230049 Triangle such that the g.f. of column k equals 1/(1-x)^(k^3) for k>=0, as read by rows. 2
1, 0, 1, 0, 1, 1, 0, 1, 8, 1, 0, 1, 36, 27, 1, 0, 1, 120, 378, 64, 1, 0, 1, 330, 3654, 2080, 125, 1, 0, 1, 792, 27405, 45760, 7875, 216, 1, 0, 1, 1716, 169911, 766480, 333375, 23436, 343, 1, 0, 1, 3432, 906192, 10424128, 10668000, 1703016, 58996, 512, 1, 0, 1, 6435, 4272048, 119877472, 275234400, 93240126, 6784540, 131328, 729, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,9

LINKS

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

FORMULA

T(n, k) = binomial(k^3+n-k-1, n-k) for n>=k>=0.

EXAMPLE

Triangle begins:

1;

0, 1;

0, 1, 1;

0, 1, 8, 1;

0, 1, 36, 27, 1;

0, 1, 120, 378, 64, 1;

0, 1, 330, 3654, 2080, 125, 1;

0, 1, 792, 27405, 45760, 7875, 216, 1;

0, 1, 1716, 169911, 766480, 333375, 23436, 343, 1;

0, 1, 3432, 906192, 10424128, 10668000, 1703016, 58996, 512, 1;

0, 1, 6435, 4272048, 119877472, 275234400, 93240126, 6784540, 131328, 729, 1; ...

PROG

(PARI) {T(n, k) = polcoeff(1/(1-x+x*O(x^n))^(k^3), n-k)}

for(n=0, 12, for(k=0, n, print1(T(n, k), ", ")); print(""))

(PARI) {T(n, k) = binomial(k^3+n-k-1, n-k)}

for(n=0, 12, for(k=0, n, print1(T(n, k), ", ")); print(""))

CROSSREFS

Cf. A230050 (row sums), A229711.

Sequence in context: A076952 A209914 A094922 * A088990 A214097 A194732

Adjacent sequences:  A230046 A230047 A230048 * A230050 A230051 A230052

KEYWORD

nonn,tabl

AUTHOR

Paul D. Hanna, Oct 06 2013

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 4 04:39 EST 2021. Contains 341779 sequences. (Running on oeis4.)