A101711 Main diagonal of A101646.

1, 3, 8, 15, 21, 32, 40, 55, 72, 84, 105, 128, 144, 171, 189, 220, 253, 275, 312, 336, 377, 420, 448, 495, 544, 576, 629, 663, 720, 779, 817, 880, 945, 987, 1056, 1100, 1173, 1248, 1296, 1375, 1425, 1508, 1593, 1647, 1736, 1827, 1885, 1980, 2040, 2139, 2240

Offset

1,2

Links

Table of n, a(n) for n=1..51.

Maple

with(combinat) : A014417 := proc(n) local a, i, nredu, j; i := 1 ; while fibonacci(i) <= n do i := i+1 ; od ; nredu := n ; a := [seq(0, j=1..i-1)] ; while i >= 2 do if fibonacci(i) <= nredu then nredu := nredu-fibonacci(i) ; a := subsop(i=1, a) ; fi ; i := i-1 ; od ; RETURN(a) ; end: A101646 := proc(n, k) local a, nZeck, kZeck, i, j ; a := 0 ; nZeck := A014417(n) ; kZeck := A014417(k) ; for i from 2 to nops(nZeck) do for j from 2 to nops(kZeck) do a := a+op(i, nZeck)*op(j, kZeck)*fibonacci(i+j-2) ; od: od: RETURN(a) ; end: A101711 := proc(n) A101646(n, n) ; end: seq(A101711(n), n=1..80) ; # R. J. Mathar, Aug 07 2007

Mathematica

a[n_] := n^2 - Floor[(n+1)/GoldenRatio^2]^2;
Table[a[n], {n, 1, 80}] (* Jean-François Alcover, Mar 30 2024, after Fred Lunnon in A101646 *)

Crossrefs

Sequence in context: A181027 A060320 A162372 * A048982 A375293 A294399

Adjacent sequences: A101708 A101709 A101710 * A101712 A101713 A101714

Keyword

nonn

Author

David Applegate and N. J. A. Sloane, Jan 26 2005

Extensions

More terms from R. J. Mathar, Aug 07 2007

Status

approved