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 A143086 Symmetrical triangle sequence: t(n,m)=If[m < = ( less than or equal) Floor[n/2], 2^(m + 1) - 1, 2^(n - m + 1) - 1]. 0
 1, 1, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 7, 3, 1, 1, 3, 7, 7, 3, 1, 1, 3, 7, 15, 7, 3, 1, 1, 3, 7, 15, 15, 7, 3, 1, 1, 3, 7, 15, 31, 15, 7, 3, 1, 1, 3, 7, 15, 31, 31, 15, 7, 3, 1, 1, 3, 7, 15, 31, 63, 31, 15, 7, 3, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Row sums are:A077866; {1, 2, 5, 8, 15, 22, 37, 52, 83, 114, 177}. The numbers are Mersenne like odd numbers. LINKS FORMULA t(n,m)=If[m < = ( less than or equal) Floor[n/2], 2^(m + 1) - 1, 2^(n - m + 1) - 1]. EXAMPLE {1}, {1, 1}, {1, 3, 1}, {1, 3, 3, 1}, {1, 3, 7, 3, 1}, {1, 3, 7, 7, 3, 1}, {1, 3, 7, 15, 7, 3, 1}, {1, 3, 7, 15, 15, 7, 3, 1}, {1, 3, 7, 15, 31, 15, 7, 3, 1}, {1, 3, 7, 15, 31, 31, 15, 7, 3, 1}, {1, 3, 7, 15, 31, 63, 31, 15, 7, 3, 1} MATHEMATICA Table[Table[If[m < = Floor[n/2], 2^(m + 1) - 1, 2^(n - m + 1) - 1], {m, 0, n}], {n, 0, 10}]; Flatten'%] CROSSREFS Cf. A077866. Sequence in context: A123191 A157454 A106255 * A327481 A152714 A174546 Adjacent sequences:  A143083 A143084 A143085 * A143087 A143088 A143089 KEYWORD nonn,uned AUTHOR Roger L. Bagula and Gary W. Adamson, Oct 16 2008 STATUS approved

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Last modified May 14 18:54 EDT 2021. Contains 343900 sequences. (Running on oeis4.)