A006132 Related to representations as sums of Fibonacci numbers. (Formerly M4079)

1, 6, 9, 22, 40, 43, 48, 56, 61, 64, 111, 145, 150, 153, 166, 255, 273, 276, 281, 289, 294, 297, 310, 315, 318, 323, 328, 331, 336, 344, 378, 383, 386, 399, 417, 420, 425, 433, 438, 441, 488, 721, 755, 760, 763, 776, 865, 988, 993, 996, 1009, 1027, 1030, 1035

Offset

1,2

Comments

Numbers such that A003231(n) = A003234(n), 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..54.

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

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(n, ", ")); ); }  \\ Michel Marcus, Feb 02 2014

Crossrefs

Sequence in context: A268665 A043883 A112393 * A033705 A033704 A121592

Adjacent sequences: A006129 A006130 A006131 * A006133 A006134 A006135

Keyword

nonn

Author

N. J. A. Sloane.

Extensions

More terms from Michel Marcus, Feb 02 2014

Status

approved