A100241 In binary representation of n, replace ones with n and zeros with n's binary complement (keeping leading zeros).

1, 1, 9, 15, 283, 341, 433, 511, 34679, 38505, 42405, 46267, 52275, 56621, 61153, 65535, 17284591, 18299345, 19314253, 20329075, 21352811, 22369621, 23386825, 24403703, 25959655, 27039961, 28120901, 29201275, 30306403, 31388765

Offset

0,3

Comments

B(i*A070939(n))+j) = [b(i)=b(j)] where n=Sum(b(k)*2^k:0<=k < A070939(n)), a(n)=Sum(B(k)*2^k:0<=k < A070939(n)^2), 0<=b(k),B(k)<=1;

A070939(a(n)) = A070939(n)^2;

a(n) <= 2^(A070939(n)^2) - 1;

A023416(a(n)) = 2*A023416(n)*A000120(n);

A000120(a(n)) = A023416(n)^2 + A000120(n)^2;

a(2^k-1) = 2^(k^2)-1, a(A000225(k)) = A000225(k^2).

Links

Table of n, a(n) for n=0..29.

Index entries for sequences related to binary expansion of n

Example

n=25 -> 11001 -> (11001)(11001)(00110)(00110)(11001) ->
-> 1100111001001100011011001 -> a(25) = 27039961.

Crossrefs

Cf. A007088, A035327.

Sequence in context: A316744 A158789 A355654 * A078794 A093595 A330429

Adjacent sequences: A100238 A100239 A100240 * A100242 A100243 A100244

Keyword

nonn

Author

Reinhard Zumkeller, Dec 28 2004

Status

approved