Keywords:
AND-convolution,
BINOMIAL transform,
BINOMIALi transform,
BISECT,
boustrophedon transform,
characteristic function,
complement of sequence,
compose two sequences,
functional square root,
continuant transform,
convolution transform,
inverse convolution transform,
decimate,
first differences,
DIGREV = reverse digits,
DIGSUM = sum of digits,
Dirichlet convolution,
Euler transform,
Euleri transform,
exponential transform,
exponential convolution,
GCD-convolution,
Hankel transform,
inverse of permutation,
INVERT transform,
INVERTi transform,
LAH transform,
LAHi transform,
Lambert function,
LCM-convolution,
little Hankel transform.
logarithmic transform,
MOEBIUS transform,
MOBIUS transform,
MOEBIUSi transform,
MOBIUSi transform,
OR-convolution,
partial products,
partial sums,
PARTITION transform,
PARTITIONi transform,
RECORDS transform,
revert (or reversion),
REVEGF = reversion of e.g.f.,
SERIESTOLISTDIV,
SERIESTOLISTMULT,
SERIESTOSERIESDIV,
SERIESTOSERIESMULT,
SERIES2,
SERIES2TOLIST,
SERIES2TOLISTMULT,
SERIES2HTOLIST,
SERIES2HTOLISTMULT,
sort,
STIRLING transform,
STIRLINGi transform,
Stirling-Bernoulli transform,
SUPPORT transform,
trisect,
XOR-convolution,
WEIGH transform,
Maple,
Mathematica,
PARI.
This page has links to four other web pages which give
procedures for performing a large number of
useful transformations on sequences and numbers.
The programs
-
Maple programs.
-
Mathematica programs,
written by Olivier Gerard.
-
PARI programs,
written by Christian G. Bower.
-
See also the description of some
further transforms
written by Christian G. Bower.
References
-
M. Bernstein & N. J. A. Sloane,
Some canonical sequences of integers,
Linear Algebra and its Applications, 226-228 (1995), 57-72.
- P. J. Cameron, Some sequences of integers,
Discrete Math., 75 (1989), 89-102.
- J. Millar, N. J. A. Sloane and N. E. Young,
A new operation on sequences: the Boustrophedon transform,
J. Comb. Theory, 17A 44-54 1996.
- N. J. A. Sloane and S. Plouffe,
The Encyclopedia of Integer Sequences,
Academic Press,
San Diego, 1995, especially Section 2.7.
|