Search: id:A060162 Results 1-1 of 1 results found. %I A060162 %S A060162 1,1,1,1,2,1,3,2,3,1,5,4,4,4,1,7,9,6,7,5,1,15,14,14,10,11,6,1,29,25,26, %T A060162 21,17,16,7,1,49,52,44,44,32,28,22,8,1,95,95,88,78,70,50,44,29,9,1,187, %U A060162 174,173,148,134,108,79,66,37,10,1,345,344,319,299,250,221,165,124,95 %N A060162 Triangle T(n,m) with T(n,m)=T(n-1,|m-1|)+T(n-1,m)+T(n-1,m+1)-2T(n-2,m) and T(0,0)=1. %D A060162 B. A. Bondarenko, Generalized Pascal Triangles and Pyramids (in Russian), FAN, Tashkent, 1990, ISBN 5-648-00738-8. English translation published by Fibonacci Association, Santa Clara Univ., Santa Clara, CA, 1993; see p. 44. %e A060162 T(4,3)=T(3,2)+T(3,3)+T(3,4)-2*T(2,3)=3+1+0-2*0=4. T(5,0)=T(4,1)+T(4,0)+T(4, 1)-2*T(3,0)=4+5+4-2*3=7. Rows are: (1), (1,1), (1,2,1), (3,2,3,1), (5,4,4,4,1), ... %Y A060162 Half of a generalized Pascal triangle of order 3: A059780. Diagonals include A000012, A000027, A000124, A060163. %Y A060162 Sequence in context: A020651 A160232 A002487 this_sequence A026730 A075256 A001480 %Y A060162 Adjacent sequences: A060159 A060160 A060161 this_sequence A060163 A060164 A060165 %K A060162 easy,nonn,tabl %O A060162 0,5 %A A060162 Henry Bottomley (se16(AT)btinternet.com), Mar 13 2001 Search completed in 0.001 seconds