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A119771 Product of n^2 and n-th tetrahedral number: n^3*(n+1)*(n+2)/6. 1
0, 1, 16, 90, 320, 875, 2016, 4116, 7680, 13365, 22000, 34606, 52416, 76895, 109760, 153000, 208896, 280041, 369360, 480130, 616000, 781011, 979616, 1216700, 1497600, 1828125, 2214576, 2663766, 3183040, 3780295, 4464000, 5243216 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

If n is divisible by 10, then a(n) is divisible by 1000.

LINKS

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

EXAMPLE

a(25) = n^3*(n+1)*(n+2)/6 = 25^3*(25+1)*(25+2)/6 = 15625*26*27/6 = 15625*13*9 = 1828125.

MAPLE

with(combinat):a:=n->sum(sum(sum(binomial(n+2, 2)/3, j=1..n), k=1..n), m=1..n): seq(a(n), n=0..31); # Zerinvary Lajos, May 30 2007

CROSSREFS

Cf. A000290, A000292.

Sequence in context: A264531 A192129 A253131 * A055920 A055856 A195591

Adjacent sequences:  A119768 A119769 A119770 * A119772 A119773 A119774

KEYWORD

easy,nonn

AUTHOR

Brandon Ang (xyz1236(AT)verizon.net), Jun 28 2006

STATUS

approved

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Last modified June 24 22:23 EDT 2019. Contains 324337 sequences. (Running on oeis4.)