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 A096646 Triangle (read by rows) where the number of row entries increases by steps of 2 and the entries are stacked in a rectangular fashion. The end entries = 1. Rest of entries in the n-th row are the sum of the entries directly above and to the left and right in all previous rows (total of 3*(n-1) entries). 1
 1, 1, 1, 1, 1, 3, 4, 3, 1, 1, 5, 11, 14, 11, 5, 1, 1, 7, 22, 41, 50, 41, 22, 7, 1, 1, 9, 37, 92, 154, 182, 154, 92, 37, 9, 1, 1, 11, 56, 175, 375, 582, 672, 582, 375, 175, 56, 11, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,6 COMMENTS The row sums are 1,3, then 2^(2*(n-2)) * 3. (i.e. A002001 a(n) = 3*4^(n-1), n>0; a(0)=1). The n-th row is the 2n-1th row of A072405 (Triangle of C(n,k)-C(n-2,k-1)). LINKS FORMULA G.f.: 1/[(1-z(1+w+w^2))(1-wz)]. Partial sums of trinomial array A027907. - Ralf Stephan, Jan 09 2005 EXAMPLE ......................1.................... ..................1...1...1................ ..............1...3...4...3...1............ ..........1...5..11..14..11...5...1........ ......1...7..22..41..50..41..22...7..1..... ...1..9..37..92.154.182.154..92..37..9..1.. 1.11.56.175.375.582.672.582.375.175.56.11.1 CROSSREFS Cf. A002001, A072405. Sequence in context: A078070 A111028 A201162 * A136206 A011190 A201935 Adjacent sequences:  A096643 A096644 A096645 * A096647 A096648 A096649 KEYWORD nonn,tabf AUTHOR Gerald McGarvey, Aug 14 2004 STATUS approved

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