Search: id:A123315
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%I A123315
%S A123315 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,
               8,
%T A123315 9,22,20,11,11,20,22,9,4,15,17,15,18,15,17,15,4,7,15,18,18,20,20,18,18,
%U A123315 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 A123315 Pascrabble triangle, read by rows.
%C A123315 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 A123315 T(1,1) = 1; for i > 1, T(i,j) = A113172(T(i-1, j-1)+T(i-1, j).
%e A123315 Triangle begins:
%e A123315 row.|.values in row
%e A123315 .1..|01
%e A123315 .2..|03.03
%e A123315 .3..|08.10.08
%e A123315 .4..|09.12.12.09
%e A123315 .5..|04.15.19.15.04
%e A123315 .6..|07.15.19.19.15.07
%e A123315 .7..|08.18.19.21.19.18.08
%e A123315 .8..|09.22.20.11.11.20.22.09
%e A123315 .9..|04.15.17.15.18.15.17.15.04
%e A123315 10..|07.15.18.18.20.20.18.18.15.07
%e A123315 11..|08.18.20.22.21.11.21.22.20.18.8
%e A123315 12..|09.22.21.17.19.18.18.19.17.21.22.09
%Y A123315 Cf. A007318 Pascal's triangle read by rows, A113172.
%Y A123315 Sequence in context: A092481 A099508 A141577 this_sequence A052407 A105039 
               A090597
%Y A123315 Adjacent sequences: A123312 A123313 A123314 this_sequence A123316 A123317 
               A123318
%K A123315 easy,nonn,tabl,word
%O A123315 1,2
%A A123315 Jonathan Vos Post (jvospost3(AT)gmail.com), Nov 08 2006

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