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A137713 Row sums of triangle A137712. 2
1, 2, 3, 5, 7, 12, 18, 30, 48, 78, 126, 205, 331, 536, 868, 1404, 2272, 3676, 5948, 9624, 15572, 25195, 40767, 65962, 106729, 172690, 279419, 452109, 731528, 1183637, 1915165, 3098802, 5013967, 8112769, 13126737, 21239506, 34366243, 55605749, 89971992, 145577742, 235549734, 381127476, 616677210 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

a(n)/a(n-1) tends to phi.

LINKS

Robert Israel, Table of n, a(n) for n = 1..1000

EXAMPLE

a(6) = 12 = sum of row 6 terms of triangle A137712: (8 + 2 + 1 + 0 + 0 + 1).

MAPLE

for n from 1 to 100 do

  T[n, 1]:= combinat:-fibonacci(n);

  for k from 2 to n do

    if n >= 2*k-1 then T[n, k]:= T[n-1, k-1] - T[n-k, k-1]

    else T[n, k]:= T[n-1, k-1]

    fi

  od:

od:

seq(add(T[n, k], k=1..n), n=1..100); # Robert Israel, Aug 20 2018

CROSSREFS

Cf. A137712.

Sequence in context: A257863 A169986 A218021 * A191385 A143642 A192685

Adjacent sequences:  A137710 A137711 A137712 * A137714 A137715 A137716

KEYWORD

nonn

AUTHOR

Gary W. Adamson, Feb 08 2008

EXTENSIONS

Corrected and extended by Robert Israel, Aug 20 2018

STATUS

approved

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Last modified May 24 06:53 EDT 2019. Contains 323529 sequences. (Running on oeis4.)