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A085211 Array A(x,y): concatenation of the binary expansions of x & y in such a way that 'y' is inserted after the least significant 1-bit of 'x', followed by the remaining 0-bits, if any. Listed antidiagonalwise as A(0,0), A(1,0), A(0,1), A(2,0), A(1,1), A(0,2), ... Zero is expanded as an empty string. 4
0, 1, 1, 2, 3, 2, 3, 6, 6, 3, 4, 7, 12, 7, 4, 5, 12, 14, 14, 12, 5, 6, 11, 24, 15, 24, 13, 6, 7, 14, 22, 28, 28, 26, 14, 7, 8, 15, 28, 23, 48, 29, 28, 15, 8, 9, 24, 30, 30, 44, 52, 30, 30, 24, 9, 10, 19, 48, 31, 56, 45, 56, 31, 48, 25, 10, 11, 22, 38, 56, 60, 58, 46, 60, 56, 50, 26, 11 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
0,4
LINKS
FORMULA
a(0, y) = y, a(x, y) = A006519(x) * (y + ((2^A029837(y+1))*A000265(x))).
EXAMPLE
A(8,3) = 56 = '1110000' in binary, is produced when '11' (binary expansion of 3) is inserted after the least significant (and only) 1-bit of '1000' (binary expansion of 8).
PROG
(MIT/GNU Scheme) (define (A085211bi x y) (cond ((zero? x) (A085207bi x y)) (else (* (+ (* (expt 2 (A029837 (1+ y))) (A000265 x)) y) (A006519 x)))))
(define (A085211 n) (A085211bi (A025581 n) (A002262 n)))
(define (A085212 n) (A085211bi (A002262 n) (A025581 n)))
CROSSREFS
Same array in binary: A085213. Transpose: A085212. Variant: A085207 (normal concatenation). Can be used to compute A085203.
Sequence in context: A332553 A257302 A268715 * A085212 A079025 A165930
KEYWORD
nonn,tabl
AUTHOR
Antti Karttunen, Jun 23 2003
STATUS
approved

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Last modified June 15 15:25 EDT 2024. Contains 373407 sequences. (Running on oeis4.)