cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A056150 Number of combinations for each possible sum when throwing 3 (normal) dice.

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%I A056150 #11 Dec 17 2014 16:37:12
%S A056150 1,3,6,10,15,21,25,27,27,25,21,15,10,6,3,1
%N A056150 Number of combinations for each possible sum when throwing 3 (normal) dice.
%C A056150 The 3rd row of A063260. - _Michel Marcus_, Mar 04 2013
%e A056150 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.
%t A056150 Transpose[Tally[Total/@Tuples[Range[6],{3}]]][[2]] (* _Harvey P. Dale_, Dec 17 2014 *)
%o A056150 (PARI) Vec(((sum(k=1,6,x^k))^3+O(x^66))) /* _Joerg Arndt_, Mar 04 2013 */
%Y A056150 A108907 gives sums for 6 dice.
%Y A056150 A166322 gives sums for 7 dice.
%Y A056150 A063260 gives the sums for 2 dice through to 6 dice.
%K A056150 nonn,fini,full
%O A056150 3,2
%A A056150 Joe Slater (joe(AT)yoyo.cc.monash.edu.au), Aug 05 2000
%E A056150 Corrected by _Rick L. Shepherd_, May 24 2002