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A006481 Euler characteristics of polytopes.
(Formerly M0533)
3
1, 2, 3, 4, 5, 11, 21, 36, 57, 127, 253, 463, 793, 1717, 3433, 6436, 11441, 24311, 48621, 92379, 167961, 352717, 705433, 1352079, 2496145, 5200301, 10400601, 20058301, 37442161 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

H. Hadwiger and P. Mani, On polyhedra with extremal Euler characteristic, J. Combin. Theory, A 17 (1974), 345-349. See p. 346.

FORMULA

Numbers suggest that for n not divisible by 4, a(n) = C(n, [n/2]) + 1 and C(n, [(n-1)/2]) + 1 otherwise (see A051920 and A037952+1). - Ralf Stephan, Jun 07 2005

MATHEMATICA

a[n_] := Binomial[n-1, 2*Floor[(n-1)/4] + 1] + 1; Table[a[n], {n, 1, 29}] (* Jean-Fran├žois Alcover, Jan 23 2012, after Ralf Stephan *)

CROSSREFS

Very like A051920. Cf. A320996.

Sequence in context: A073528 A116067 A063685 * A118597 A083160 A123823

Adjacent sequences:  A006478 A006479 A006480 * A006482 A006483 A006484

KEYWORD

nonn,nice

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified January 16 00:02 EST 2019. Contains 319184 sequences. (Running on oeis4.)