This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A228083 Table of binary Self-numbers and their descendants; square array T(r,c), with row r>=1, column c>=1, read by antidiagonals. 7
 1, 2, 4, 3, 5, 6, 5, 7, 8, 13, 7, 10, 9, 16, 15, 10, 12, 11, 17, 19, 18, 12, 14, 14, 19, 22, 20, 21, 14, 17, 17, 22, 25, 22, 24, 23, 17, 19, 19, 25, 28, 25, 26, 27, 30, 19, 22, 22, 28, 31, 28, 29, 31, 34, 32, 22, 25, 25, 31, 36, 31, 33, 36, 36, 33, 37 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Antti Karttunen, The first 141 antidiagonals of the table, flattened FORMULA T(r,1) are those numbers not of form n + sum of binary digits of n (binary Self numbers) = A010061(r); T(r,c) = T(r,c-1) + sum of binary digits of T(r,c-1) = A092391(T(r,c-1)). EXAMPLE The top-left corner of the square array:    1,  2 , 3,  5,  7, 10, 12, 14, ...    4,  5,  7, 10, 12, 14, 17, 19, ...    6,  8,  9, 11, 14, 17, 19, 22, ...   13, 16, 17, 19, 22, 25, 28, 31, ...   15, 19, 22, 25, 28, 31, 36, 38, ...   18, 20, 22, 25, 28, 31, 36, 38, ...   21, 24, 26, 29, 33, 35, 38, 41, ...   23, 27, 31, 36, 38, 41, 44, 47, ...   ... The non-initial terms on each row are obtained by adding to the preceding term the number of 1-bits in its binary representation (A000120). PROG (Scheme, with Antti Karttunen's IntSeq-library) (define (A228083 n) (A228083bi (A002260 n) (A004736 n))) (define (A228083bi row col) ((rowfun-for-A228083 row) col)) (definec (rowfun-for-A228083 n) (implement-cached-function 0 (rowfun-n k) (cond ((= 1 k) (A010061 n)) (else (A092391 (rowfun-n (- k 1))))))) CROSSREFS First column: A010061. First row: A010062. Transpose: A228084. See A151942 for decimal analog. Cf. also A000120, A092391, A227643, A228082, A228085, A228086, A228087, A228088, A228091, A218254. Sequence in context: A124938 A198342 A081725 * A222234 A131042 A274631 Adjacent sequences:  A228080 A228081 A228082 * A228084 A228085 A228086 KEYWORD nonn,base,tabl AUTHOR Antti Karttunen, Aug 09 2013 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified August 20 20:50 EDT 2019. Contains 326155 sequences. (Running on oeis4.)