A154569 Partial sums of (2n-1)^(2n+1)+(2n+1)^(2n-1).

0, 4, 372, 95304, 45231880, 33784239180, 36348656777148, 53168436739227280, 101441716823942402448, 244654264259760069435540, 727702646597963991868772740, 2616780161875511741808194232024, 11190492899233441015089845457437592

Offset: 0

Author

Avik Roy (avik_3.1416(AT)yahoo.co.in), Jan 12 2009

Keywords

• nonn

Comments

All the terms of the sequence are divisible by 4, a(0) = 0 by default.

Crossrefs

Cf. A154682.

Programs

Mathematica

Accumulate[Table[(2n-1)^(2n+1)+(2n+1)^(2n-1),{n,20}]] (* Harvey P. Dale, Jun 05 2012 *)

Formula

a(n) = a(n-1)+(2n-1)^(2n+1)+(2n+1)^(2n-1).

a(n) = sum_{k=0..n} A051489(2k-1). - R. J. Mathar, Jan 14 2009

Extensions

More terms from Harvey P. Dale, Jun 05 2012