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A211524 Number of ordered triples (w,x,y) with all terms in {1,...,n} and w=3x+5y. 2
0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 17, 18, 20, 22, 23, 25, 27, 29, 31, 33, 35, 37, 40, 42, 44, 47, 49, 52, 55, 57, 60, 63, 66, 69, 72, 75, 78, 82, 85, 88, 92, 95, 99, 103, 106, 110, 114, 118, 122, 126, 130, 134, 139 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,12

COMMENTS

For a guide to related sequences, see A211422.

LINKS

Table of n, a(n) for n=0..68.

Index entries for linear recurrences with constant coefficients, signature (1, 0, 1, -1, 1, -1, 0, -1, 1).

FORMULA

a(n) = a(n-1)+a(n-3)-a(n-4)+a(n-5)-a(n-6)-a(n-8)+a(n-9).

G.f.: x^8/((1-x)*(1-x^3)*(1-x^5)).

MATHEMATICA

t[n_] := t[n] = Flatten[Table[-w + 3 x + 5 y, {w, 1, n}, {x, 1, n}, {y, 1, n}]]

c[n_] := Count[t[n], 0]

t = Table[c[n], {n, 0, 70}]  (* A211524 *)

FindLinearRecurrence[t]

LinearRecurrence[{1, 0, 1, -1, 1, -1, 0, -1, 1}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 69] (* Ray Chandler, Aug 02 2015 *)

CROSSREFS

Cf. A008672, A211422.

Sequence in context: A050294 A097950 A011885 * A008672 A097923 A027582

Adjacent sequences:  A211521 A211522 A211523 * A211525 A211526 A211527

KEYWORD

nonn

AUTHOR

Clark Kimberling, Apr 14 2012

STATUS

approved

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Last modified January 25 07:41 EST 2020. Contains 331241 sequences. (Running on oeis4.)