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A038679
Convolution of A007054 (Super ballot numbers) with A000302 (powers of 4).
2
3, 14, 59, 242, 982, 3964, 15955, 64106, 257282, 1031780, 4135518, 16569204, 66365964, 265761016, 1064046979, 4259609626, 17050224394, 68241838036, 273110643754, 1092947507356, 4373580244084, 17500703480776
OFFSET
0,1
COMMENTS
Also: convolution of A038665 with A000984 (central binomial coefficients )
FORMULA
a(n) = 4^(n+1) - C(n+1), C(n): Catalan numbers A000108; G.f. c(x)*(4-c(x))/(1-4*x), where c(x) = g.f. for Catalan numbers.
KEYWORD
easy,nonn
STATUS
approved