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A211435 Number of ordered triples (w,x,y) with all terms in {-n,...,0,...,n} and w+4x+5y=0. 3
1, 3, 5, 11, 17, 25, 35, 45, 59, 73, 89, 107, 125, 147, 169, 193, 219, 245, 275, 305, 337, 371, 405, 443, 481, 521, 563, 605, 651, 697, 745, 795, 845, 899, 953, 1009, 1067, 1125, 1187, 1249, 1313, 1379, 1445, 1515, 1585, 1657, 1731, 1805, 1883 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

For a guide to related sequences, see A211422.

LINKS

Table of n, a(n) for n=0..48.

FORMULA

Conjectures from Colin Barker, May 15 2017: (Start)

G.f.: (1 + x + 4*x^3 + x^5 + x^6) / ((1 - x)^3*(1 + x + x^2 + x^3 + x^4)).

a(n) = 2*a(n-1) - a(n-2) + a(n-5) - 2*a(n-6) + a(n-7) for n>6.

(End)

MATHEMATICA

t[n_] := t[n] = Flatten[Table[w + 4 x + 5 y, {w, -n, n}, {x, -n, n}, {y, -n, n}]]

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

t = Table[c[n], {n, 0, 70}]  (* A211435 *)

(t - 1)/2                    (* integers *)

CROSSREFS

Cf. A211422.

Sequence in context: A258713 A267517 A309427 * A049752 A286264 A147350

Adjacent sequences:  A211432 A211433 A211434 * A211436 A211437 A211438

KEYWORD

nonn

AUTHOR

Clark Kimberling, Apr 11 2012

STATUS

approved

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Last modified September 15 12:22 EDT 2019. Contains 327078 sequences. (Running on oeis4.)