A060852 Sum of number of pips on dice in shape of Platonic solids.

10, 21, 36, 78, 210

Offset: 1

Author

Philip Newton, Aug 09 2001

Keywords

• fini
• full
• nonn

Comments

This is obviously a finite sequence, since there are only five Platonic solids.

Examples

			The third number in the sequence is 36 because the third Platonic solid has eight faces and the pips on an eight-faced die add up to 36 [by sum_1^n(n) = 1/2 * n * (n+1), so 1/2 * 8 * 9 = 36 for n = 8].
		

Links

• Wikipedia, Dice.

Crossrefs

Cf. A053016.

Programs

Mathematica

# (# + 1)/2 & /@ {4, 6, 8, 12, 20} (* Robert G. Wilson v, Apr 18 2008 *)

Perl

for $n (4, 6, 8, 12, 20) { print $n*($n+1)/2 }