A085814 - OEIS

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A085814

Even entries (A048967) minus the odd entries (A001316) in row n of Pascal's triangle (A007318).

-1, -2, 0, -8, 12, 8, 0, -128, 252, 472, 840, 1120, 2112, 128, 0, -32768, 65532, 131000, 261528, 519648, 1029192, 1991728, 3865664, 6825984, 13835328, 21056128, 39611520, 20680192, 134234112, 32768, 0, -2147483648, 4294967292, 8589934456, 17179866936, 34359709664, 68719241112, 137436945552

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OFFSET

0,2

LINKS

Table of n, a(n) for n=0..37.

FORMULA

a(n) = sum((-1)^binomial(n, i)*binomial(n, i), i=0..n)

For n>1, a(2^n-2)=0. - Benoit Cloitre, Jun 13 2004

CROSSREFS

Cf. A064405.

Sequence in context: A106193 A334875 A328476 * A009524 A009794 A171402

Adjacent sequences: A085811 A085812 A085813 * A085815 A085816 A085817

KEYWORD

sign

AUTHOR

Klaus Strassburger (strass(AT)ddfi.uni-duesseldorf.de), Jul 25 2003

STATUS

approved