login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A256911 Number of terms in the enhanced triangular-number representation of n. 3
1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 2, 3, 3, 2, 1, 2, 2, 2, 3, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 3, 3, 1, 2, 2, 2, 3, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 2, 3, 3, 3, 2, 1, 2, 2, 2, 3, 3, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 3 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

See A256909 for definitions.  The least n for which R(n) has 5 terms is given by R(7259) = 7140 + 105 + 10 + 3 + 1.

LINKS

Clark Kimberling, Table of n, a(n) for n = 0..1000

EXAMPLE

R(4) = 3 + 1, so a(4) = 2.

R(119) = 105 + 10 + 3 + 1, so a(119) = 4.

MATHEMATICA

b[n_] := n (n + 1)/2; bb = Insert[Table[b[n], {n, 0, 200}], 2, 3]

s[n_] := Table[b[n], {k, 1, n + 1}];

h[1] = {0, 1, 2}; h[n_] := Join[h[n - 1], s[n]];

g = h[200]; r[0] = {0};

r[n_] := If[MemberQ[bb, n], {n}, Join[{g[[n]]}, r[n - g[[n]]]]];

t = Table[r[n], {n, 0, 120}] (*A256909 before concatenation*)

Flatten[t]  (*A256909*)

Table[Last[r[n]], {n, 0, 120}]    (*A256910*)

Table[Length[r[n]], {n, 0, 120}]  (*A256911*)

CROSSREFS

Cf. A000217, A256909 (representations) A256910 (trace).

Sequence in context: A037196 A169818 A116543 * A107260 A279346 A168258

Adjacent sequences:  A256908 A256909 A256910 * A256912 A256913 A256914

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Apr 14 2015

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 18 13:49 EDT 2020. Contains 337169 sequences. (Running on oeis4.)