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A100736 Inverse modulo 2 binomial transform of 3^n. 1
1, 2, 8, 16, 80, 160, 640, 1280, 6560, 13120, 52480, 104960, 524800, 1049600, 4198400, 8396800, 43046720, 86093440, 344373760, 688747520, 3443737600, 6887475200, 27549900800, 55099801600, 282386483200, 564772966400 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

3^n may be retrieved as Sum_{k=0..n} (binomial(n,k) mod 2)*A100736(k).

LINKS

Table of n, a(n) for n=0..25.

FORMULA

a(n) = Sum_{k=0..n} (-1)^A010060(n-k)*(binomial(n, k) mod 2)*3^k.

PROG

(PARI) a(n)=abs(sum(k=0, n, (-1)^(hammingweight(k)%2)* lift(Mod(binomial(n, k), 2))*3^k)) \\ Jianing Song, Jan 27 2019

CROSSREFS

Cf. A010060, A100735.

Sequence in context: A094014 A098232 A195798 * A099888 A249308 A199043

Adjacent sequences:  A100733 A100734 A100735 * A100737 A100738 A100739

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Dec 06 2004

STATUS

approved

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Last modified April 8 08:48 EDT 2020. Contains 333313 sequences. (Running on oeis4.)