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 A092689 Triangle, read by rows, such that the convolution of each row with {1,2} produces a triangle which, after the main diagonal is divided by 2 and the triangle is flattened, equals this flattened form of the original triangle. 7
 1, 1, 1, 3, 1, 3, 7, 5, 3, 7, 19, 13, 13, 7, 19, 51, 39, 33, 33, 19, 51, 141, 111, 99, 85, 89, 51, 141, 393, 321, 283, 259, 229, 243, 141, 393, 1107, 925, 825, 747, 701, 627, 675, 393, 1107, 3139, 2675, 2397, 2195, 2029, 1929, 1743, 1893, 1107, 3139, 8953, 7747 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS First column and main diagonal forms the central trinomial coefficients (A002426). Row sums form A092690. LINKS FORMULA T(n, k) = 2*T(n-1, k) + T(n-1, k+1) for 0n, 0, if(n==0 && k==0, 1, if(n==1 && k<=1, 1, if(k==n-1, T(n-1, 0), if(k==n, T(n, 0), 2*T(n-1, k)+T(n-1, k+1)))))) CROSSREFS Cf. A002426, A092683, A092686, A092690. Sequence in context: A107461 A035619 A280995 * A281553 A064434 A328988 Adjacent sequences:  A092686 A092687 A092688 * A092690 A092691 A092692 KEYWORD nonn,tabl AUTHOR Paul D. Hanna, Mar 04 2004 STATUS approved

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Last modified August 1 01:59 EDT 2021. Contains 346377 sequences. (Running on oeis4.)