Sequences

392,541 sequences

Number of partitions of n into parts 3k or 3k+2.A035361
Number of partitions of n into parts 3k or 3k+2.
Number of partitions of n into parts 4k or 4k+1.A035362
Number of partitions of n into parts 4k or 4k+1.
Number of partitions of n into even parts.A035363
Number of partitions of n into even parts.
Number of partitions of n into parts 4k or 4k+3.A035364
Number of partitions of n into parts 4k or 4k+3.
Number of partitions of n into parts 4k+1 or 4k+2.A035365
Number of partitions of n into parts 4k+1 or 4k+2.
Number of partitions of n into parts 4k+2 or 4k+3.A035366
Number of partitions of n into parts 4k+2 or 4k+3.
Number of partitions of n into parts 5k or 5k+1.A035367
Number of partitions of n into parts 5k or 5k+1.
Number of partitions of n into parts 5k or 5k+2.A035368
Number of partitions of n into parts 5k or 5k+2.
Number of partitions of n into parts 5k or 5k+3.A035369
Number of partitions of n into parts 5k or 5k+3.
Number of partitions of n into parts 5k or 5k+4.A035370
Number of partitions of n into parts 5k or 5k+4.
Number of partitions of n into parts 5k+1 or 5k+2.A035371
Number of partitions of n into parts 5k+1 or 5k+2.
Number of partitions of n into parts 5k+1 or 5k+3.A035372
Number of partitions of n into parts 5k+1 or 5k+3.
Number of partitions of n into parts 5k+2 or 5k+4.A035373
Number of partitions of n into parts 5k+2 or 5k+4.
Number of partitions of n into parts 5k+3 or 5k+4.A035374
Number of partitions of n into parts 5k+3 or 5k+4.
Number of partitions of n into parts 6k or 6k+1.A035375
Number of partitions of n into parts 6k or 6k+1.
Number of partitions of n into parts 6k or 6k+2.A035376
Number of partitions of n into parts 6k or 6k+2.
Number of partitions of n into parts 6k or 6k+3.A035377
Number of partitions of n into parts 6k or 6k+3.
Coefficients in expansion of Sum_{k>=0} Product_{j=1..k} (1-x^j) about x = -1.A035378
Coefficients in expansion of Sum_{k>=0} Product_{j=1..k} (1-x^j) about x = -1.
Number of partitions of n into parts 6k or 6k+5.A035379
Number of partitions of n into parts 6k or 6k+5.
Number of partitions of n into parts 6k+1 or 6k+2.A035380
Number of partitions of n into parts 6k+1 or 6k+2.
Number of partitions of n into parts 6k+1 or 6k+3.A035381
Number of partitions of n into parts 6k+1 or 6k+3.
Number of partitions of n into parts congruent to 1 mod 3.A035382
Number of partitions of n into parts congruent to 1 mod 3.
Automorphic numbers: n ends with square root of n.A035383
Automorphic numbers: n ends with square root of n.
Number of partitions of n into parts 6k+2 or 6k+3.A035384
Number of partitions of n into parts 6k+2 or 6k+3.
Number of partitions of n into parts 6k+2 or 6k+4.A035385
Number of partitions of n into parts 6k+2 or 6k+4.
Number of partitions of n into parts congruent to 2 mod 3.A035386
Number of partitions of n into parts congruent to 2 mod 3.
Number of partitions of n into parts 6k+3 or 6k+4.A035387
Number of partitions of n into parts 6k+3 or 6k+4.
Number of partitions of n into parts 6k+3 or 6k+5.A035388
Number of partitions of n into parts 6k+3 or 6k+5.
Number of partitions of n into parts 6k+4 or 6k+5.A035389
Number of partitions of n into parts 6k+4 or 6k+5.
Number of partitions of n into parts 7k or 7k+1.A035390
Number of partitions of n into parts 7k or 7k+1.
Number of partitions of n into parts 7k or 7k+2.A035391
Number of partitions of n into parts 7k or 7k+2.
Number of partitions of n into parts 7k or 7k+3.A035392
Number of partitions of n into parts 7k or 7k+3.
Number of partitions of n into parts 7k or 7k+4.A035393
Number of partitions of n into parts 7k or 7k+4.
Number of partitions of n into parts 7k or 7k+5.A035394
Number of partitions of n into parts 7k or 7k+5.
Number of partitions of n into parts 7k or 7k+6.A035395
Number of partitions of n into parts 7k or 7k+6.
Number of partitions of n into parts 7k+1 or 7k+2.A035396
Number of partitions of n into parts 7k+1 or 7k+2.
Number of partitions of n into parts 7k+1 or 7k+3.A035397
Number of partitions of n into parts 7k+1 or 7k+3.
Number of partitions of n into parts 7k+1 or 7k+4.A035398
Number of partitions of n into parts 7k+1 or 7k+4.
Limit of the position of the n-th partition without repetition in the list of all integer partitions sorted in reverse lexicographic order.A035399
Limit of the position of the n-th partition without repetition in the list of all integer partitions sorted in reverse lexicographic order.
Differences of A035399.A035400
Differences of A035399.
Limit of the position of the n-th partition into parts 5k+1 or 5k+4 in the list of all integer partitions sorted in reverse lexicographic order, for integers == 1 (mod 5).A035401
Limit of the position of the n-th partition into parts 5k+1 or 5k+4 in the list of all integer partitions sorted in reverse lexicographic order, for integers == 1 (mod 5).
Limit of the position of the n-th partition into parts 5k+1 or 5k+4 in the list of all integer partitions sorted in reverse lexicographic order, for integers == 2 (mod 5).A035402
Limit of the position of the n-th partition into parts 5k+1 or 5k+4 in the list of all integer partitions sorted in reverse lexicographic order, for integers == 2 (mod 5).
Limit of the position of the n-th partition into parts 5k+1 or 5k+4 in the list of all integer partitions sorted in reverse lexicographic order, for integers == 3 (mod 5).A035403
Limit of the position of the n-th partition into parts 5k+1 or 5k+4 in the list of all integer partitions sorted in reverse lexicographic order, for integers == 3 (mod 5).
Limit of the position of the n-th partition into parts 5k+1 or 5k+4 in the list of all integer partitions sorted in reverse lexicographic order, for integers == 4 (mod 5).A035404
Limit of the position of the n-th partition into parts 5k+1 or 5k+4 in the list of all integer partitions sorted in reverse lexicographic order, for integers == 4 (mod 5).
Limit of the position of the n-th partition into parts 5k+1 or 5k+4 in the list of all integer partitions sorted in reverse lexicographic order, for integers == 0 (mod 5).A035405
Limit of the position of the n-th partition into parts 5k+1 or 5k+4 in the list of all integer partitions sorted in reverse lexicographic order, for integers == 0 (mod 5).
Limit of the position of the n-th partition into parts 5k+2 or 5k+3 in the list of all integer partitions sorted in reverse lexicographic order, for integers == 1 (mod 5).A035406
Limit of the position of the n-th partition into parts 5k+2 or 5k+3 in the list of all integer partitions sorted in reverse lexicographic order, for integers == 1 (mod 5).
Limit of the position of the n-th partition into parts 5k+2 or 5k+3 in the list of all integer partitions sorted in reverse lexicographic order, for integers == 2 (mod 5).A035407
Limit of the position of the n-th partition into parts 5k+2 or 5k+3 in the list of all integer partitions sorted in reverse lexicographic order, for integers == 2 (mod 5).
Limit of the position of the n-th partition into parts 5k+2 or 5k+3 in the list of all integer partitions sorted in reverse lexicographic order, for integers == 3 (mod 5).A035408
Limit of the position of the n-th partition into parts 5k+2 or 5k+3 in the list of all integer partitions sorted in reverse lexicographic order, for integers == 3 (mod 5).
Limit of the position of the n-th partition into parts 5k+2 or 5k+3 in the list of all integer partitions sorted in reverse lexicographic order, for integers == 4 (mod 5).A035409
Limit of the position of the n-th partition into parts 5k+2 or 5k+3 in the list of all integer partitions sorted in reverse lexicographic order, for integers == 4 (mod 5).
Limit of the position of the n-th partition into parts 5k+2 or 5k+3 in the list of all integer partitions sorted in reverse lexicographic order, for integers == 0 (mod 5).A035410
Limit of the position of the n-th partition into parts 5k+2 or 5k+3 in the list of all integer partitions sorted in reverse lexicographic order, for integers == 0 (mod 5).