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A289992 Number of magic labelings of the prism graph I X C_8 having magic sum n. 6
1, 49, 746, 6122, 34067, 144963, 506772, 1524628, 4074949, 9898229, 22220990, 46695870, 92769495, 175610631, 318756136, 557659432, 944355593, 1553488697, 2489980818, 3898657938, 5976186139, 8985711691, 13274641084, 19296041660, 27634190285 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..24.

R. P. Stanley, Examples of Magic Labelings, Unpublished Notes, 1973 [Cached copy, with permission]

FORMULA

a(n) = A244880(n) + 2*Sum_{i=0..n-1} A244880(i).

Conjectures from Colin Barker, Sep 13 2017: (Start)

G.f.: (1 + x)*(1 + 6*x + x^2)*(1 + 32*x + 70*x^2 + 32*x^3 + x^4) / (1 - x)^10.

a(n) = 10*a(n-1) - 45*a(n-2) + 120*a(n-3) - 210*a(n-4) + 252*a(n-5) - 210*a(n-6) + 120*a(n-7) - 45*a(n-8) + 10*a(n-9) - a(n-10) for n>9.

(End)

CROSSREFS

Cf. A019298, A061927, A244497, A292281, A244873, A244880.

Sequence in context: A299711 A175775 A215117 * A278284 A110906 A193940

Adjacent sequences:  A289989 A289990 A289991 * A289993 A289994 A289995

KEYWORD

nonn

AUTHOR

David J. Seal, Sep 13 2017

STATUS

approved

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Last modified June 18 15:13 EDT 2019. Contains 324213 sequences. (Running on oeis4.)