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 A179285 Triangle T(n,k) read by rows, defined by: T(1,1)=1; n>1 and k=1: T(n,1)=T(n-1,2)+T(n,2); k=2: T(n,2)=A000196(n-1); k>2: T(n,k)=(sum from i = 1 to k-1 of T(n-i,k-1)) - (sum from i = 1 to k-1 of T(n-i,k)). 2
 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 3, 2, 0, 1, 1, 4, 2, 2, 0, 1, 1, 4, 2, 2, 1, 0, 1, 1, 4, 2, 0, 2, 1, 0, 1, 1, 4, 2, 2, 1, 1, 1, 0, 1, 1, 5, 3, 2, 0, 1, 1, 1, 0, 1, 1, 6, 3, 1, 1, 1, 0, 1, 1, 0, 1, 1, 6, 3, 3, 3, 0, 1, 0, 1, 1, 0, 1, 1, 6, 3, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 6, 3, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS The second column, sequence A000196, is the initial condition for the recurrence in this triangle. See A051731, formula entered on Feb 16 2010 for the more pure form of this recurrence. LINKS FORMULA T(1,1)=1; n>1 and k=1: T(n,1)=T(n-1,2)+T(n,2); k=2: T(n,2)=A000196(n-1); k>2: T(n,k)=(sum from i = 1 to k-1 of T(n-i,k-1)) - (sum from i = 1 to k-1 of T(n-i,k)). EXAMPLE Triangle begins: 1, 1,1, 2,1,1, 2,1,1,1, 3,2,0,1,1, 4,2,2,0,1,1, 4,2,2,1,0,1,1, 4,2,0,2,1,0,1,1, 4,2,2,1,1,1,0,1,1, 5,3,2,0,1,1,1,0,1,1, 6,3,1,1,1,0,1,1,0,1,1, PROG (Excel) Using European dot comma style: =if(and(row()=1; column()=1); 1; if(row()>=column(); if(column()=1; indirect(address(row()-1; column()+1))+indirect(address(row(); column()+1)); if(column()=2; floor(((row()-1)^0, 5); 1); if(row()>=column(); sum(indirect(address(row()-column()+1; column()-1; 4)&":"&address(row()-1; column()-1; 4); 4))-sum(indirect(address(row()-column()+1; column(); 4)&":"&address(row()-1; column(); 4); 4)); 0))); 0)) CROSSREFS Cf. A179286, A179287, A059571, A051731. Sequence in context: A306722 A168508 A177994 * A026835 A117975 A143258 Adjacent sequences:  A179282 A179283 A179284 * A179286 A179287 A179288 KEYWORD nonn,tabl AUTHOR Mats Granvik, Jul 09 2010 STATUS approved

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Last modified March 21 12:04 EDT 2019. Contains 321369 sequences. (Running on oeis4.)