A285272
Number of dominating sets in the n-Andrásfai graph.
Original entry on oeis.org
3, 21, 179, 1607, 14087, 119749, 994775, 8139609, 65978747, 531817661, 4272634559, 34261960897, 274453098179, 2197189450437
Offset: 1
A302759
Number of total dominating sets in the n-Andrásfai graph.
Original entry on oeis.org
1, 11, 131, 1365, 12883, 113935, 967455, 8013983, 65410751, 529283583, 4261449727, 34213027327, 274240586751, 2196272295935, 17580376055807, 140687025184767, 1125685164621823, 9006288735567871, 72053745778425855, 576444534576513023, 4611617848860868607
Offset: 1
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Join[{1}, Table[(8^(n + 1) + (2^n (n - 2) - 4^(n + 1) ) (3 n - 1) - 16)/16, {n, 2, 20}]]
Join[{1}, LinearRecurrence[{23, -210, 996, -2664, 4032, -3200, 1024}, {11, 131, 1365, 12883, 113935, 967455, 8013983}, 20]]
CoefficientList[Series[(-1 + 12 x - 88 x^2 + 334 x^3 - 706 x^4 + 928 x^5 - 672 x^6 + 256 x^7)/((-1 + 2 x)^3 (-1 + 4 x)^2 (1 - 9 x + 8 x^2)), {x, 0, 20}], x]
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