login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A332706 Index position of {2}^n within the list of partitions of 2n in canonical ordering. 7
1, 1, 3, 8, 18, 37, 71, 128, 223, 376, 617, 991, 1563, 2423, 3704, 5589, 8333, 12293, 17959, 25996, 37318, 53153, 75153, 105535, 147249, 204201, 281563, 386128, 526795, 715191, 966437, 1300125, 1741598, 2323487, 3087701, 4087933, 5392747, 7089463, 9289053 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

The canonical ordering of partitions is described in A080577.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..5000

FORMULA

a(n) = A000041(2n) - n.

a(n) = A058984(2n).

a(n) = A330661(2n,n).

EXAMPLE

a(3) = 8, because 222 has position 8 within the list of partitions of 6 in canonical ordering: 6, 51, 42, 411, 33, 321, 3111, 222, ... .

MAPLE

a:= n-> combinat[numbpart](2*n)-n:

seq(a(n), n=0..44);

CROSSREFS

Bisection (even part) of A058984.

Cf. A000041, A080577, A216053, A238639, A238640, A322761, A330661.

Sequence in context: A169763 A227161 A241080 * A000234 A136376 A099845

Adjacent sequences:  A332703 A332704 A332705 * A332707 A332708 A332709

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Feb 20 2020

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 25 04:52 EDT 2021. Contains 345452 sequences. (Running on oeis4.)