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!)
A356651 Triangle read by rows. T(n, k) = [x^k](0^n + 4^n * ((1 - x)^(-1/2) - 1)). 1
1, 0, 2, 0, 8, 6, 0, 32, 24, 20, 0, 128, 96, 80, 70, 0, 512, 384, 320, 280, 252, 0, 2048, 1536, 1280, 1120, 1008, 924, 0, 8192, 6144, 5120, 4480, 4032, 3696, 3432, 0, 32768, 24576, 20480, 17920, 16128, 14784, 13728, 12870, 0, 131072, 98304, 81920, 71680, 64512, 59136, 54912, 51480, 48620 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
FORMULA
T(n, 0) = 0^n, T(n, n) = binomial(2*n, n), otherwise T(n, k) = 4^(n - k)*T(k, k).
EXAMPLE
[0] 1;
[1] 0, 2;
[2] 0, 8, 6;
[3] 0, 32, 24, 20;
[4] 0, 128, 96, 80, 70;
[5] 0, 512, 384, 320, 280, 252;
[6] 0, 2048, 1536, 1280, 1120, 1008, 924;
[7] 0, 8192, 6144, 5120, 4480, 4032, 3696, 3432;
[8] 0, 32768, 24576, 20480, 17920, 16128, 14784, 13728, 12870;
[9] 0, 131072, 98304, 81920, 71680, 64512, 59136, 54912, 51480, 48620;
MAPLE
ogf := n -> 0^n + 4^n * ((1 - x)^(-1/2) - 1):
ser := n -> series(ogf(n), x, 32):
seq(seq(coeff(ser(n), x, k), k = 0..n), n = 0..9);
CROSSREFS
Cf. A000984, A004171, A172060 (row sums), A357012.
Sequence in context: A334071 A243406 A293934 * A316133 A359451 A243443
KEYWORD
nonn,tabl
AUTHOR
Peter Luschny, Sep 08 2022
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 29 02:23 EDT 2024. Contains 371264 sequences. (Running on oeis4.)