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!)
A240434 Binomial transform of the sum of the first n even squares (A002492). 1
0, 4, 28, 128, 480, 1600, 4928, 14336, 39936, 107520, 281600, 720896, 1810432, 4472832, 10895360, 26214400, 62390272, 147062784, 343670784, 796917760, 1835008000, 4198498304, 9550430208, 21609054208, 48653926400, 109051904000, 243403849728, 541165879296 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

The inverse binomial transform of a(n) is A002492(n) = 2n(n+1)(2n+1)/3.

LINKS

Table of n, a(n) for n=0..27.

FORMULA

Conjecture: a(n) = (2^(n-1)*n*(5+6*n+n^2))/3. G.f.: -4*x*(x-1) / (2*x-1)^4. - Colin Barker, Apr 06 2014

MATHEMATICA

Table[Sum[2 Binomial[n, k] k (k + 1) (2 k + 1)/3, {k, 0, n}], {n, 0, 30}]

CROSSREFS

Cf. A002492.

Sequence in context: A231581 A223115 A296381 * A270275 A296638 A270721

Adjacent sequences:  A240431 A240432 A240433 * A240435 A240436 A240437

KEYWORD

nonn

AUTHOR

Wesley Ivan Hurt, Apr 04 2014

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 1 02:43 EST 2021. Contains 341732 sequences. (Running on oeis4.)