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 A146770 Triangle read by wows: expansion of p(x,n)=If[n == 0, 1, (x + 1)^n + Sum[Binomial[n-m, m]*x^m*(1 + x^(n - 2*m)), {m, 1, n - 1}]]. 0
 1, 1, 1, 1, 4, 1, 1, 5, 5, 1, 1, 7, 8, 7, 1, 1, 9, 13, 13, 9, 1, 1, 11, 21, 22, 21, 11, 1, 1, 13, 31, 39, 39, 31, 13, 1, 1, 15, 43, 66, 72, 66, 43, 15, 1, 1, 17, 57, 104, 131, 131, 104, 57, 17, 1, 1, 19, 73, 155, 225, 254, 225, 155, 73, 19, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 COMMENTS Row sums are: {1, 2, 6, 12, 24, 46, 88, 168, 322, 620, 1200}. LINKS EXAMPLE Triangle begins: {1}, {1, 1}, {1, 4, 1}, {1, 5, 5, 1}, {1, 7, 8, 7, 1}, {1, 9, 13, 13, 9, 1}, {1, 11, 21, 22, 21, 11, 1}, {1, 13, 31, 39, 39, 31, 13, 1}, {1, 15, 43, 66, 72, 66, 43, 15, 1}, {1, 17, 57, 104, 131, 131, 104, 57, 17, 1}, {1, 19, 73, 155, 225, 254, 225, 155, 73, 19, 1} MATHEMATICA p[x_, n_] = If[ n == 0, 1, (x + 1)^n + Sum[Binomial[n-m, m]*x^m*(1 + x^(n - 2*m)), {m, 1, n - 1}]]; Table[CoefficientList[FullSimplify[ExpandAll[p[x, n]]], x], {n, 0, 10}]; Flatten[%] CROSSREFS Sequence in context: A147289 A147566 A204621 * A143334 A156050 A136489 Adjacent sequences:  A146767 A146768 A146769 * A146771 A146772 A146773 KEYWORD nonn,tabl,less AUTHOR Roger L. Bagula, Nov 02 2008 STATUS approved

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Last modified June 19 13:11 EDT 2019. Contains 324222 sequences. (Running on oeis4.)