0,3

Sum of first n^2 integers.

Start from xanthene and attach amino acids according to the reaction scheme that describes the reaction between the active sites. See the hyperlink below on chemistry. - rgwv, Aug 02 2002 - Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Aug 01 2002

Sum of the next n multiples of n. - Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Aug 01 2002

The sum of the terms in an n X n spiral. These are also triangular numbers. - William A. Tedeschi (fynmun(AT)hotmail.com), Feb 27 2008

T. A. Gulliver, Sequences from Arrays of Integers, Int. Math. Journal, Vol. 1, No. 4, pp. 323-332, 2002.

R. A. Wilson, Cosmic Trigger, epilogue of S.-P. Sirag.

T. A. Gulliver, Sequences from Cubes of Integers, Int. Math. Journal, 4 (2003), 439-445.

T. D. Noe, Table of n, a(n) for n=0..1000

J. D. Bell, A translation of Leonhard Euler's "De Quadratis Magicis", E795

Th. Gruner, A. Kerber, R. Laue, M. Meringer, Mathematics for Combinatorial Chemistry

a(n) = a(n-1) + n^3 + (n-1)^3.

a(n) = A000537(n)+A000537(n-1), i.e. square of sum of first n integers plus square of sum of first n-1 integers. - Henry Bottomley (se16(AT)btinternet.com), Oct 15 2001

a(n) = Sum{k=0..n^2, k} - William A. Tedeschi (fynmun(AT)hotmail.com), Feb 27 2008

a:=n->add(n+add(binomial(n, 2), j=0..n), j=1..n):seq(a(n), n=0..35); [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 26 2008]

Table[ n^2*((n^2 + 1)/2), {n, 0, 30} ]

Sequence in context: A045852 A105938 A022605 this_sequence A027800 A005714 A143671

Adjacent sequences: A037267 A037268 A037269 this_sequence A037271 A037272 A037273

easy,nonn,nice

Aaron Gulliver (gulliver(AT)elec.canterbury.ac.nz)

Reference from Klaus Strassburger (strass(AT)ddfi.uni-duesseldorf.de), Dec 22 1999