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A363503
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a(n+1) = 2*a(n) + A298338(n-1), with a(1) = 1.
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0
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1, 3, 7, 15, 33, 71, 151, 319, 667, 1385, 2855, 5855, 11949, 24299, 49255, 99597, 200967, 404845, 814425, 1636581, 3285713, 6591853, 13216829, 26487447, 53062045, 106265431, 212759755, 425890401, 852381243, 1705734905, 3413043757, 6828635653, 13661395165
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OFFSET
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1,2
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COMMENTS
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a(n) is an odd number that appears in m* = log(a(n)*phi^2) for the fermion condensate mass in odd dimensional and large N Gross-Neveu model at imaginary chemical potential and finite temperature.
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LINKS
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EXAMPLE
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a(1) = 1;
a(2) = 2*a(1) + 1 = 2*1 + 1 = 3;
etc.
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PROG
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(PARI) b(n) = if (n<=2, 1, b(n-1) + b(n-2) + b(n\2)); \\ A298338
a(n) = if (n==1, 1, 2*a(n-1) + b(n-2)); \\ Michel Marcus, Jun 06 2023
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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