A006133 Related to representations as sums of Fibonacci numbers. (Formerly M3080)

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

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: A363409 A292310 A045802 * A317860 A039766 A072849

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