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A006133 Related to representations as sums of Fibonacci numbers.
(Formerly M3080)
0
3, 21, 32, 79, 144, 155, 173, 202, 220, 231, 401, 524, 542, 553, 600, 922, 987, 998, 1016, 1045, 1063, 1074, 1121, 1139, 1150, 1168, 1186, 1197, 1215, 1244, 1367, 1385, 1396, 1443, 1508, 1519, 1537, 1566, 1584, 1595, 1765, 2608, 2731, 2749, 2760, 2807, 3129 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Common value of A003231(x) and A003234(x) for x in A006132 (see Table 1 p. 357 in Carlitz link). - Michel Marcus, Feb 02 2014

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Table of n, a(n) for n=1..47.

L. Carlitz, R. Scoville and T. Vaughan, Some arithmetic functions related to Fibonacci numbers, Fib. Quart., 11 (1973), 337-386.

FORMULA

a(n) = A003231(A006132(n)) = A003234(A006132(n)). - Michel Marcus, Feb 02 2014

PROG

(PARI) A001950(n) = floor(n*(sqrt(5)+3)/2); \\ b

A003231(n) = floor(n*(sqrt(5)+5)/2); \\ c

iss(n) = A003231(A001950(n)) == A001950(A003231(n)) - 1;

lista(nn) = {v003231 = vector(nn, i, floor(i*(sqrt(5)+5)/2)); v003234 = select(n->iss(n), vector(5*nn, i, i)); for (n=1, nn, if (v003231[n] == v003234[n], print1(v003231[n], ", ")); ); }  \\ Michel Marcus, Feb 02 2014

CROSSREFS

Sequence in context: A091103 A292310 A045802 * A039766 A072849 A287930

Adjacent sequences:  A006130 A006131 A006132 * A006134 A006135 A006136

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Michel Marcus, Feb 02 2014

STATUS

approved

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Last modified October 18 10:28 EDT 2017. Contains 293507 sequences.