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A056150
Number of combinations for each possible sum when throwing 3 (normal) dice.
2
1, 3, 6, 10, 15, 21, 25, 27, 27, 25, 21, 15, 10, 6, 3, 1
OFFSET
3,2
COMMENTS
The 3rd row of A063260. - Michel Marcus, Mar 04 2013
EXAMPLE
Using three normal (six-sided) dice we can produce a sum of 3 in just one way: 1,1,1. We can produce a sum of 4 in three ways: 1,1,2; 1,2,1; 2,1,1. We can produce a sum of 5 in 6 ways and so on.
MATHEMATICA
Transpose[Tally[Total/@Tuples[Range[6], {3}]]][[2]] (* Harvey P. Dale, Dec 17 2014 *)
PROG
(PARI) Vec(((sum(k=1, 6, x^k))^3+O(x^66))) /* Joerg Arndt, Mar 04 2013 */
CROSSREFS
A108907 gives sums for 6 dice.
A166322 gives sums for 7 dice.
A063260 gives the sums for 2 dice through to 6 dice.
Sequence in context: A115015 A231676 A376211 * A310081 A357779 A240443
KEYWORD
nonn,fini,full
AUTHOR
Joe Slater (joe(AT)yoyo.cc.monash.edu.au), Aug 05 2000
EXTENSIONS
Corrected by Rick L. Shepherd, May 24 2002
STATUS
approved