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 A114118 Number triangle T(n,k)=sum{j=0..n, C(floor((n+k+j)/3),k)C(k,floor((n+k+j)/3))}. 1
 1, 2, 1, 1, 3, 1, 0, 2, 3, 1, 0, 1, 3, 3, 1, 0, 0, 2, 3, 3, 1, 0, 0, 1, 3, 3, 3, 1, 0, 0, 0, 2, 3, 3, 3, 1, 0, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0, 0, 0, 2, 3, 3, 3, 3, 1, 0, 0, 0, 0, 1, 3, 3, 3, 3, 3, 1, 0, 0, 0, 0, 0, 2, 3, 3, 3, 3, 3, 1, 0, 0, 0, 0, 0, 1, 3, 3, 3, 3, 3, 3, 1, 0, 0, 0, 0, 0, 0, 2, 3, 3, 3, 3, 3, 3, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Row sums are A114119. Diagonal sums are A008619(n+1). LINKS Table of n, a(n) for n=0..104. EXAMPLE Triangle begins 1...........................= 1 = 1 mod 3 2,1.........................= 3 = 0 mod 3 1,3,1.......................= 5 = 2 mod 3 0,2,3,1.....................= 6 = 0 mod 3 0,1,3,3,1...................= 8 = 2 mod 3 0,0,2,3,3,1.................= 9 = 0 mod 3 0,0,1,3,3,3,1...............= 11 = 2 mod 3 0,0,0,2,3,3,3,1.............= 12 = 0 mod 3 0,0,0,1,3,3,3,3,1...........= 14 = 2 mod 3 0,0,0,0,2,3,3,3,3,1.........= 15 = 0 mod 3 0,0,0,0,1,3,3,3,3,3,1.......= 17 = 2 mod 3 0,0,0,0,0,2,3,3,3,3,3,1.....= 18 = 0 mod 3 CROSSREFS Sequence in context: A210806 A147867 A227431 * A146014 A344824 A226173 Adjacent sequences: A114115 A114116 A114117 * A114119 A114120 A114121 KEYWORD easy,nonn,tabl AUTHOR Paul Barry, Nov 13 2005 STATUS approved

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Last modified November 29 00:31 EST 2023. Contains 367422 sequences. (Running on oeis4.)