A287873 The right-hand part of the "Empire State Building" array read by rows.

0, 1, 2, 1, 3, 0, 2, 2, 4, 0, 3, 3, 6, 0, 4, 4, 8, 3, 1, 4, 5, 9, 4, 1, 5, 6, 11, 3, 2, 5, 7, 12, 4, 2, 6, 8, 14, 5, 2, 7, 9, 16, 4, 3, 7, 10, 17, 5, 3, 8, 11, 19, 6, 3, 9, 12, 21, -1, 5, 4, 9, 13, 22, -2, 6, 4, 10, 14, 24, 0, 5, 5, 10, 15, 25, -1, 6, 5, 11, 16, 27, -2, 7, 5, 12, 17, 29

Offset

0,3

References

Conway, John; Ryba, Alex; The extra Fibonacci series and the Empire State Building. Math. Intelligencer 38 (2016), no. 1, 41-48.

Links

Table of n, a(n) for n=0..86.

Conway, John; Ryba, Alex;, Top of Empire State Building [Extract from Table 1 of paper, with permission]

Example

The full array begins (only the central column, A287871, is correctly aligned):
...............1 0 1
............3 -1 2 1 3
..........4 -2 2 0 2 2 4
..........6 -3 3 0 3 3 6
..........8 -4 4 0 4 4 8
......12 -7 5 -2 3 1 4 5 9
.....17 -10 7 -3 4 1 5 6 11
.......9 -5 4 -1 3 2 5 7 12
......14 -8 6 -2 4 2 6 8 14
.....19 -11 8 -3 5 2 7 9 16
......11 -6 5 -1 4 3 7 10 17
......16 -9 7 -2 5 3 8 11 19
.....21 -12 9 -3 6 3 9 12 21
.33 -20 13 -7 6 -1 5 4 9 13 22
46 -28 18 -10 8 -2 6 4 10 14 24
..25 -15 10 -5 5 0 5 5 10 15 25
.38 -23 15 -8 7 -1 6 5 11 16 27
51 -31 20 -11 9 -2 7 5 12 17 29
...
The present sequence shows the rows starting at the central column.

Crossrefs

The central column is A287871.

See A287872 for the full array.

Sequence in context: A194188 A104512 A131848 * A035157 A318995 A217176

Adjacent sequences: A287870 A287871 A287872 * A287874 A287875 A287876

Keyword

sign,tabf

Author

N. J. A. Sloane, Jun 15 2017

Status

approved