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A282574 The final position on a staircase of n steps during the following routine: Take steps of length 1 up a staircase until you can't step any further, then take steps of length 2 down until you can't step any further, and so on. 1
1, 0, 1, 3, 5, 2, 3, 0, 1, 7, 9, 2, 3, 0, 1, 6, 11, 17, 1, 15, 19, 6, 9, 23, 1, 17, 19, 27, 11, 23, 25, 12, 13, 4, 5, 19, 27, 14, 19, 31, 39, 10, 13, 6, 7, 22, 23, 14, 15, 0, 5, 31, 39, 53, 1, 47, 49, 18, 21, 59, 3, 57, 1, 6, 17, 49, 57, 39, 43, 69, 9, 47, 51 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

If a(n) = 0 or a(n) = n, then A282443(n) = n and n is in A282444.

a(n) is bounded above by A282443(n) and bounded below by n - A282443(n).

LINKS

Peter Kagey, Table of n, a(n) for n = 1..10000

EXAMPLE

For n = 4:

step size 1: 0 -> 1 -> 2 -> 3 -> 4 (four steps);

step size 2: 4 -> 2 -> 0 (two steps);

step size 3: 0 -> 3 (one step).

Because the walker cannot take four steps down, a(4) = 3 (the final position).

CROSSREFS

Cf. A282442, A282443, A282444.

Sequence in context: A115406 A059246 A091276 * A076562 A306220 A057673

Adjacent sequences:  A282571 A282572 A282573 * A282575 A282576 A282577

KEYWORD

nonn

AUTHOR

Peter Kagey, Feb 18 2017

STATUS

approved

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Last modified October 21 22:47 EDT 2019. Contains 328315 sequences. (Running on oeis4.)