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 A115292 Correlation triangle for (1+x)^3/(1-x). 4
 1, 4, 4, 7, 17, 7, 8, 32, 32, 8, 8, 39, 66, 39, 8, 8, 40, 88, 88, 40, 8, 8, 40, 95, 130, 95, 40, 8, 8, 40, 96, 152, 152, 96, 40, 8, 8, 40, 96, 159, 194, 159, 96, 40, 8, 8, 40, 96, 160, 216, 216, 160, 96, 40, 8, 8, 40, 96, 160, 223, 258, 223, 160, 96, 40, 8 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Row sums are A115293. Diagonal sums are A115294. T(2n,n) is A115295. T(2n,n)-T(2n,n+1) is 1,10,27,35,35,35,... The transform of (-1)^n by this matrix is 1,0,-3,0,4,0,-4,0,4,... LINKS FORMULA G.f.: (1+x)^3*(1+xy)^3/((1-x)(1-x*y)(1-x^2*y)); Number triangle T(n, k)=sum{j=0..n, [j<=k]*A115291(k-j)*[j<=n-k]*A115291(n-k-j)}. EXAMPLE Triangle begins 1; 4, 4; 7, 17, 7; 8, 32, 32, 8; 8, 39, 66, 39, 8; 8, 40, 88, 88, 40, 8; 8, 40, 95, 130, 95, 40, 8; 8, 40, 96, 152, 152, 96, 40, 8; CROSSREFS Sequence in context: A036605 A183541 A238389 * A202676 A173324 A318243 Adjacent sequences:  A115289 A115290 A115291 * A115293 A115294 A115295 KEYWORD easy,nonn,tabl AUTHOR Paul Barry, Jan 19 2006 STATUS approved

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Last modified January 16 21:37 EST 2019. Contains 319206 sequences. (Running on oeis4.)