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A387659
a(n) = 13*n^2 + 10*n + 3.
1
3, 26, 75, 150, 251, 378, 531, 710, 915, 1146, 1403, 1686, 1995, 2330, 2691, 3078, 3491, 3930, 4395, 4886, 5403, 5946, 6515, 7110, 7731, 8378, 9051, 9750, 10475, 11226, 12003, 12806, 13635, 14490, 15371, 16278, 17211, 18170, 19155, 20166, 21203, 22266, 23355
OFFSET
0,1
COMMENTS
For n > 2, also the detour index of the n-book graph.
LINKS
Eric Weisstein's World of Mathematics, Book Graph.
Eric Weisstein's World of Mathematics, Detour Index.
FORMULA
a(n) = 3*a(n-1)-3*a(n-2)+a(n-3).
G.f.: (-3-17*x-6*x^2)/(-1+x)^3.
MATHEMATICA
Table[13 n^2 + 10 n + 3, {n, 0, 20}]
LinearRecurrence[{3, -3, 1}, {26, 75, 150}, {0, 20}]
CoefficientList[Series[(-3 - 17 x - 6 x^2)/(-1 + x)^3, {x, 0, 20}], x]
CROSSREFS
Sequence in context: A191590 A354050 A177511 * A294494 A048372 A269342
KEYWORD
nonn,easy
AUTHOR
Eric W. Weisstein, Sep 04 2025
STATUS
approved