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A094779 Let 2^k = smallest power of 2 >= binomial(n,[n/2]); a(n) = 2^k - binomial(n,[n/2]). 2
0, 0, 0, 1, 2, 6, 12, 29, 58, 2, 4, 50, 100, 332, 664, 1757, 3514, 8458, 16916, 38694, 77388, 171572, 343144, 745074, 1490148, 3188308, 6376616, 13496132, 26992264, 56658968, 113317936, 236330717, 472661434, 980680538, 1961361076, 4052366942, 8104733884 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Suggested by reading the Knuth article.

a(n+1) < a(n) for n = 8, 40, 162, 650... - Ivan Neretin, Jun 25 2015

REFERENCES

D. E. Knuth, Efficient balanced codes, IEEE Trans. Inform. Theory, 32 (No. 1, 1986), 51-53.

LINKS

Ivan Neretin, Table of n, a(n) for n = 0..1000

EXAMPLE

C(30,15) = 155117520; 2^28 = 268435456; difference is 113317936.

MATHEMATICA

Table[-(b = Binomial[n, Quotient[n, 2]]) + 2^Ceiling[Log2[b]], {n, 0, 36}] (* Ivan Neretin, Jun 25 2015 *)

CROSSREFS

Cf. A093387, A094780.

Sequence in context: A237500 A183467 A057582 * A093387 A324408 A229487

Adjacent sequences:  A094776 A094777 A094778 * A094780 A094781 A094782

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Jun 10 2004

STATUS

approved

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Last modified December 16 01:32 EST 2019. Contains 330013 sequences. (Running on oeis4.)