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A211702 Rectangular array:  R(n,k)=[n/F(1)]+[n/F(2)]+...+[n/F(k)], where [ ]=floor and F=A000045 (Fibonacci numbers), by antidiagonals. 1
1, 2, 2, 3, 4, 2, 4, 6, 5, 2, 5, 8, 7, 5, 2, 6, 10, 10, 8, 5, 2, 7, 12, 12, 11, 8, 5, 2, 8, 14, 15, 13, 11, 8, 5, 2, 9, 16, 17, 17, 14, 11, 8, 5, 2, 10, 18, 20, 19, 18, 14, 11, 8, 5, 2, 11, 20, 22, 22, 20, 18, 14, 11, 8, 5, 2, 12, 22, 25, 25, 23, 20, 18, 14, 11, 8, 5, 2, 13 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

For n>=1, row n is a homogeneous linear recurrence sequence with palindromic recurrence coefficients in the sense described at A211701.  The sequence approached as a limit of the rows is described in the Comments section of A175346.

LINKS

Table of n, a(n) for n=1..79.

EXAMPLE

Northwest corner:

1...2...3...4....5....6....7

2...4...6...8....10...12...15

2...5...7...10...12...15...17

2...5...8...11...13...17...19

2...5...8...11...14...18...20

2...5...8...11...14...18...20

MATHEMATICA

f[n_, m_] := Sum[Floor[n/Fibonacci[k]], {k, 1, m}]

TableForm[Table[f[n, m], {m, 1, 20}, {n, 1, 16}]]

Flatten[Table[f[n + 1 - m, m], {n, 1, 14}, {m, 1, n}]]

CROSSREFS

Cf. A211701.

Sequence in context: A194331 A290600 A143595 * A208521 A209570 A205703

Adjacent sequences:  A211699 A211700 A211701 * A211703 A211704 A211705

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling, Apr 19 2012

STATUS

approved

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Last modified July 23 19:33 EDT 2019. Contains 325263 sequences. (Running on oeis4.)