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A244872 Number of magic labelings with magic sum n of 4th graph shown in link. 2
1, 15, 114, 569, 2138, 6562, 17329, 40765, 87512, 174452, 327137, 582784, 993895, 1632561, 2595510, 4009958, 6040323, 8895861, 12839284, 18196419, 25366968, 34836428, 47189231, 63123163, 83465122, 109188274, 141430667, 181515362, 230972141, 291560851, 365296444 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..30.

N. J. A. Sloane, Graphs for A244869-A244876.

R. P. Stanley, Examples of Magic Labelings, Unpublished Notes, 1973 [Cached copy, with permission]

Index entries for linear recurrences with constant coefficients, signature (7, -20, 28, -14, -14, 28, -20, 7, -1).

FORMULA

G.f.: (1+8*x+29*x^2+43*x^3+29*x^4+8*x^5+x^6)/((1-x)^8*(1+x)).

a(n) = 17*n^7/1440 + 119*n^6/960 + 28*n^5/45 + 721*n^4/384 + 5243*n^3/1440 + 721*n^2/160 + 129*n/40 + (-1)^n/256 + 255/256. [Bruno Berselli, Jul 08 2014]

MATHEMATICA

Table[17 n^7/1440 + 119 n^6/960 + 28 n^5/45 + 721 n^4/384 + 5243 n^3/1440 + 721 n^2/160 + 129 n/40 + (-1)^n/256 + 255/256, {n, 0, 30}]

CROSSREFS

Cf. A244869-A244876.

Sequence in context: A233326 A092317 A160075 * A293875 A044347 A113527

Adjacent sequences:  A244869 A244870 A244871 * A244873 A244874 A244875

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Jul 08 2014

STATUS

approved

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Last modified September 21 06:35 EDT 2021. Contains 347596 sequences. (Running on oeis4.)