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 A306376 Sum of the 2 X 2 minors in the n X n Pascal matrix. 3
 0, 0, 1, 7, 34, 144, 574, 2226, 8533, 32587, 124453, 476145, 1826175, 7022379, 27072487, 104614863, 405122290, 1571859864, 6109296442, 23781666198, 92704406320, 361832294964, 1413879679672, 5530590849168, 21654384302110, 84859670743770, 332818903663390 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..1664 Wikipedia, Minor (linear algebra) FORMULA G.f.: -1/(2*(x-1))*(1/(2*x-1)+1/sqrt(1-4*x)). a(n) ~ 2^(2*n+1) / (3*sqrt(Pi*n)). - Vaclav Kotesovec, Feb 19 2024 MAPLE a:= proc(n) option remember; `if`(n<3, (n-1)*n/2, ((7*n^2-16*n+6)*a(n-1)-2*(7*n^2-17*n+9)*a(n-2)+ 4*(n-1)*(2*n-3)*a(n-3))/(n*(n-2))) end: seq(a(n), n=0..30); MATHEMATICA a[n_] := a[n] = If[n < 3, (n-1)n/2, ((7n^2 - 16n + 6) a[n-1] - 2(7n^2 - 17n + 9) a[n-2] + 4(n-1)(2n-3) a[n-3])/(n(n-2))]; a /@ Range[0, 30] (* Jean-François Alcover, May 03 2021, after Alois P. Heinz *) CROSSREFS Column k=2 of A184173. Cf. A007318, A369906. Sequence in context: A005023 A094256 A094891 * A192803 A052161 A080960 Adjacent sequences: A306373 A306374 A306375 * A306377 A306378 A306379 KEYWORD nonn AUTHOR Alois P. Heinz, Feb 11 2019 STATUS approved

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Last modified September 12 15:38 EDT 2024. Contains 375853 sequences. (Running on oeis4.)