login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A321959 a(n) = [x^n] ((1 - x)*x)/((1 - 2*x)^2*(2*x^2 - 2*x + 1)). 3
0, 1, 5, 16, 42, 100, 228, 512, 1144, 2544, 5616, 12288, 26656, 57408, 122944, 262144, 556928, 1179392, 2490112, 5242880, 11010560, 23069696, 48235520, 100663296, 209713152, 436203520, 905965568, 1879048192, 3892322304, 8053080064, 16643014656, 34359738368 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..31.

FORMULA

a(n) = Sum_{k=0..n} A323100(n - k, k).

a(n) = n! [x^n] exp(x)*(exp(x)*(2*x + 1) - sin(x) - cos(x))/2.

a(n) = 2*((2*n+2)*a(n-3) - (3*n+2)*a(n-2) + (2*n+1)*a(n-1))/n for n >= 4.

MAPLE

ogf := ((1 - x)*x)/((1 - 2*x)^2*(2*x^2 - 2*x + 1));

ser := series(ogf, x, 32): seq(coeff(ser, x, n), n=0..31);

CROSSREFS

Antidiagonal sums of A323100.

Sequence in context: A055796 A002662 A143962 * A066634 A241794 A034358

Adjacent sequences:  A321956 A321957 A321958 * A321960 A321961 A321962

KEYWORD

nonn

AUTHOR

Peter Luschny, Jan 12 2019

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 October 16 05:56 EDT 2019. Contains 328046 sequences. (Running on oeis4.)