A377754 Number of edge cuts in the 2n-crossed prism graph.

31, 3013, 230903, 15918887, 1050866239, 68122980063, 4382747597055, 281087648633983, 18004694320957055, 1152680455397907455, 73781031645430967935, 4722220772206726899711, 302227902088261487862399, 19342726881749033661693439, 1237937954680462294908637823, 79228112298664648061924646911

Offset

1,1

Comments

The sequence has been extended to n = 1 using the recurrence. - Andrew Howroyd, Dec 19 2024

Links

Andrew Howroyd, Table of n, a(n) for n = 1..200

Eric Weisstein's World of Mathematics, Crossed Prism Graph.

Eric Weisstein's World of Mathematics, Edge Cut.

Index entries for linear recurrences with constant coefficients, signature (112,-3705,41870,-87500,37704,-4608).

Formula

G.f.: x*(31 - 459*x + 8302*x^2 - 77054*x^3 + 4700*x^4 - 2304*x^5)/((1 - 2*x)*(1 - 64*x)*(1 - 23*x + 6*x^2)^2). - Andrew Howroyd, Dec 19 2024

Prog

(PARI) Vec((31 - 459*x + 8302*x^2 - 77054*x^3 + 4700*x^4 - 2304*x^5)/((1 - 2*x)*(1 - 64*x)*(1 - 23*x + 6*x^2)^2) + O(x^20)) \\ Andrew Howroyd, Dec 19 2024

Crossrefs

Cf. A297028.

Sequence in context: A218424 A354221 A259866 * A217913 A174584 A276111

Adjacent sequences: A377751 A377752 A377753 * A377755 A377756 A377757

Keyword

nonn,easy

Author

Eric W. Weisstein, Nov 06 2024

Extensions

a(1) prepended and a(5) onwards from Andrew Howroyd, Dec 19 2024

Status

approved