A014796 Squares of even tetrahedral numbers (A015220).

0, 16, 100, 400, 3136, 7056, 14400, 48400, 81796, 132496, 313600, 462400, 665856, 1299600, 1768900, 2371600, 4096576, 5290000, 6760000, 10732176, 13351716, 16483600, 24601600, 29767936, 35808256, 50979600, 60372900, 71166096, 97614400, 113635600, 131790400, 175403536

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (1,0,6,-6,0,-15,15,0,20,-20,0,-15,15,0,6,-6,0,-1,1).

Formula

From Amiram Eldar, Mar 07 2022: (Start)

a(n) = A015220(n)^2.

Sum_{n>=1} 1/a(n) = 27*(Pi^2 + Pi - 13)/4. (End)

Mathematica

Select[Binomial[Range[0, 40]+2, 3], EvenQ]^2 (* Harvey P. Dale, Jan 19 2012 *)

Crossrefs

Cf. A000292, A015220, A014795.

Sequence in context: A016958 A108677 A001249 * A052206 A169721 A125326

Adjacent sequences: A014793 A014794 A014795 * A014797 A014798 A014799

Keyword

nonn,easy

Author

Mohammad K. Azarian

Extensions

More terms from Erich Friedman

a(0) and more terms from Amiram Eldar, Mar 07 2022

Status

approved