|
%I #4 Mar 30 2012 18:40:41
%S 1,3,3,8,10,8,9,12,12,9,4,15,19,15,4,7,15,19,19,15,7,8,18,19,21,19,18,
%T 8,9,22,20,11,11,20,22,9,4,15,17,15,18,15,17,15,4,7,15,18,18,20,20,18,
%U 18,15,7,8,18,20,22,21,11,21,22,20,18,8,9,22,21,17,19,18,18,19,17,21,22,9
%N Pascrabble triangle, read by rows.
%C The apex of the triangle is 1. Any other value is the Scrabble value of English name for the number which is the sum of the numbers above. This is generated the same way as A007318 Pascal's triangle read by rows, except apply A113172 to each sum. The first column of this triangle is 1, 3, 8, 9, 4, 7, 8, 9, 4, 7, 8, 9, 4, 7... = iterations 1, A113172(1), A113172(A113172(1)), A113172(A113172(A113172(1))). The central pascrabble numbers T(2n+1,n) = 1, 10, 19, 21, 18, 11, 22, ...
%F T(1,1) = 1; for i > 1, T(i,j) = A113172(T(i-1, j-1)+T(i-1, j).
%e Triangle begins:
%e row.|.values in row
%e .1..|01
%e .2..|03.03
%e .3..|08.10.08
%e .4..|09.12.12.09
%e .5..|04.15.19.15.04
%e .6..|07.15.19.19.15.07
%e .7..|08.18.19.21.19.18.08
%e .8..|09.22.20.11.11.20.22.09
%e .9..|04.15.17.15.18.15.17.15.04
%e 10..|07.15.18.18.20.20.18.18.15.07
%e 11..|08.18.20.22.21.11.21.22.20.18.8
%e 12..|09.22.21.17.19.18.18.19.17.21.22.09
%Y Cf. A007318 Pascal's triangle read by rows, A113172.
%K easy,nonn,tabl,word
%O 1,2
%A _Jonathan Vos Post_, Nov 08 2006
|
