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A065033 1 appears three times, other numbers twice. 11
1, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 9, 10, 10, 11, 11, 12, 12, 13, 13, 14, 14, 15, 15, 16, 16, 17, 17, 18, 18, 19, 19, 20, 20, 21, 21, 22, 22, 23, 23, 24, 24, 25, 25, 26, 26, 27, 27, 28, 28, 29, 29, 30, 30 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

Gives the number of terms in n-th row of many common tables.

Number of partitions of the (n+1)-th Fibonacci number into distinct Fibonacci numbers: a(n) = A000119(A000045(n)), see also A098641. - Reinhard Zumkeller, Apr 24 2005

a(n) = length of run n+1 of consecutive 4s in A254338. - Reinhard Zumkeller, Feb 27 2015

This is the Engel expansion of A070910 + A096789. - Benedict W. J. Irwin, Dec 16 2016

LINKS

Harry J. Smith, Table of n, a(n) for n = 0..1000

FORMULA

a(0)=a(1)=a(2)= 1, a(3)=2, a(n) = a(n-1)+a(n-2)-a(n-3) for n>3 . G.f.: (1-x^2+x^3)/(1-x-x^2+x^3). - Philippe Deléham, Sep 28 2006

a(n) = (3/4)+(1/4)*(-1)^(n-1)+(1/2)*(n-1)+[C(2*n,n) mod 2], with n>=0 - Paolo P. Lava, Nov 20 2008

a(n) = floor((n+1)/2) + 0^n. - Reinhard Zumkeller, Feb 27 2015

PROG

(PARI) { for (n=0, 1000, if (n<3, a=1, if (n%2, a++)); write("b065033.txt", n, " ", a) ) } \\ Harry J. Smith, Oct 03 2009

(Haskell)

a065033 n = 0 ^ n + div (n + 1) 2  -- Reinhard Zumkeller, Feb 27 2015

CROSSREFS

Cf. A004526, A008619.

Cf. A254338.

Sequence in context: A111660 A244325 A168050 * A001057 A127365 A130472

Adjacent sequences:  A065030 A065031 A065032 * A065034 A065035 A065036

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Nov 04 2001

STATUS

approved

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Last modified May 24 17:39 EDT 2019. Contains 323534 sequences. (Running on oeis4.)