The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A276574 The infinite trunk of least squares beanstalk with reversed subsections. 7
 0, 3, 8, 6, 15, 11, 24, 21, 18, 16, 35, 32, 30, 27, 48, 45, 43, 40, 38, 63, 59, 56, 53, 51, 80, 78, 75, 72, 70, 67, 64, 99, 96, 93, 90, 88, 85, 83, 120, 117, 115, 112, 108, 105, 102, 143, 139, 136, 134, 131, 128, 126, 123, 168, 165, 162, 160, 158, 155, 152, 149, 147, 144, 195, 192, 189, 186, 183, 179, 176, 173, 171 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Antti Karttunen, Table of n, a(n) for n = 0..10028 FORMULA a(0) = 0; a(1) = 3; for n > 1, let k = A255131(a(n-1)). If k+1 is not a square, then a(n) = k, otherwise a(n) = A000290(2+A000196(k+1)) - 1. EXAMPLE This can be viewed as an irregular table, where after 0, each row has A260734(n) = 1, 2, 2, 4, 4, 5, 5, 7, ... terms: 0; 3; 8, 6; 15, 11; 24, 21, 18, 16; 35, 32, 30, 27; 48, 45, 43, 40, 38; 63, 59, 56, 53, 51; 80, 78, 75, 72, 70, 67, 64; 99, 96, 93, 90, 88, 85, 83; 120, 117, 115, 112, 108, 105, 102; ... Each row begins with (n^2)-1 (see A005563), and each successive term is obtained by subtracting A002828(k) from the previous term k, until ((n-1)^2)-1 would be encountered, which is not listed second time (as it already occurs as the first term of the previous row), but instead, the current row is finished and the next row is started with the term ((n+1)^2)-1. PROG (Scheme) (definec (A276574 n) (cond ((zero? n) n) ((= 1 n) 3) (else (let ((maybe_next (A255131 (A276574 (- n 1))))) (if (zero? (A010052 (+ 1 maybe_next))) maybe_next (+ -1 (A000290 (+ 2 (A000196 (+ 1 maybe_next)))))))))) CROSSREFS Cf. A005563 (left edge), A277023 (right edge). Cf. A000196, A000290, A002828, A010052, A255131, A260734, A262689, A276572. Used to construct A276573. Cf. A277015 (tells which rows end with squares, listed in A277016). Sequence in context: A289485 A304299 A221951 * A276584 A098737 A164654 Adjacent sequences: A276571 A276572 A276573 * A276575 A276576 A276577 KEYWORD nonn,tabf AUTHOR Antti Karttunen, Sep 07 2016 EXTENSIONS Example section added and the formula rewritten to a simpler form (which is now correct) - Antti Karttunen, Oct 16 2016 STATUS approved

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

Last modified July 25 01:41 EDT 2024. Contains 374585 sequences. (Running on oeis4.)