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 A085203 Array A(x,y): Position of the totally balanced binary string obtained by concatenating the binary strings A014486(x) & A014486(y) in such way that the latter is inserted after the least significant 1-bit of the former, 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), ... 13
 0, 1, 1, 2, 3, 2, 3, 5, 7, 3, 4, 8, 12, 8, 4, 5, 10, 21, 13, 17, 5, 6, 13, 26, 22, 31, 18, 6, 7, 15, 35, 27, 58, 32, 20, 7, 8, 18, 40, 36, 73, 59, 34, 21, 8, 9, 22, 49, 41, 100, 74, 62, 35, 22, 9, 10, 24, 63, 50, 115, 101, 76, 63, 36, 45, 10, 11, 27, 68, 64, 142, 116, 104, 77, 64, 87, 46 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS This table is induced by the list-function 'app-to-xrt' whose Scheme-definition is given below, in the same way as A085201 is induced by the ordinary 'append'-function. LINKS FORMULA a(0, y) = y, a(x, y) = A057548(a(A072771(x), y)) if A072772(x)=0, otherwise A072764bi(A072771(x), a(A072772(x), y)) a(x, y) = A080300(A085211bi(A014486(x), A014486(y))) = A085200(A085219bi(A071155(y), A071155(x))) PROG (MIT Scheme) (define (A085203bi x y) (A080300 (A085211bi (A014486 x) (A014486 y)))) (define (A085203 n) (A085203bi (A025581 n) (A002262 n))) (define (A085204 n) (A085203bi (A002262 n) (A025581 n))) (HERE IS THE CORRESPONDING FUNCTION FOR S-EXPRESSIONS): (define (app-to-xrt a b) (cond ((null? a) b) ((pair? (cdr a)) (cons (car a) (app-to-xrt (cdr a) b))) (else (cons (app-to-xrt (car a) b) (cdr a))))) (AND THE DESTRUCTIVE VARIANT): (define (app-to-xrt! a b) (cond ((null? a) b) (else (let recurse ((a a) (b b)) (cond ((and (not (pair? (car a))) (not (pair? (cdr a)))) (set-car! a b)) ((pair? (cdr a)) (recurse (cdr a) b)) (else (recurse (car a) b)))) a))) CROSSREFS Transpose: A085204. Variant: A085201. Row 1: A085225, Column 1: A057548. Cf. also A014486, A080300, A025581, A002262. Sequence in context: A163466 A085207 A179969 * A251104 A199334 A278910 Adjacent sequences:  A085200 A085201 A085202 * A085204 A085205 A085206 KEYWORD nonn,tabl AUTHOR Antti Karttunen Jun 23 2003 STATUS approved

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