Sequences
392,541 sequences
- Expansion of ( Sum_{n = -infinity..infinity} x^(n^2) )^(-9).A004410
Expansion of ( Sum_{n = -infinity..infinity} x^(n^2) )^(-9).
- Expansion of ( Sum_{n = -infinity..infinity} x^(n^2) )^(-10).A004411
Expansion of ( Sum_{n = -infinity..infinity} x^(n^2) )^(-10).
- Expansion of ( Sum_{n = -infinity..infinity} x^(n^2) )^(-11).A004412
Expansion of ( Sum_{n = -infinity..infinity} x^(n^2) )^(-11).
- Expansion of ( Sum_{n = -infinity..infinity} x^(n^2) )^(-12).A004413
Expansion of ( Sum_{n = -infinity..infinity} x^(n^2) )^(-12).
- Expansion of (Sum_{n=-inf..inf} x^(n^2))^(-13).A004414
Expansion of (Sum_{n=-inf..inf} x^(n^2))^(-13).
- Expansion of (Sum_{n=-inf..inf} x^(n^2))^(-14).A004415
Expansion of (Sum_{n=-inf..inf} x^(n^2))^(-14).
- Expansion of (Sum_{n=-inf..inf} x^(n^2))^(-15).A004416
Expansion of (Sum_{n=-inf..inf} x^(n^2))^(-15).
- Expansion of (Sum x^(n^2), n = -inf .. inf )^(-16).A004417
Expansion of (Sum x^(n^2), n = -inf .. inf )^(-16).
- Expansion of (Sum_{n=-inf..inf} x^(n^2))^(-17).A004418
Expansion of (Sum_{n=-inf..inf} x^(n^2))^(-17).
- Expansion of (Sum_{n=-inf..inf} x^(n^2))^(-18).A004419
Expansion of (Sum_{n=-inf..inf} x^(n^2))^(-18).
- Expansion of (Sum_{n=-inf..inf} x^(n^2))^(-19).A004420
Expansion of (Sum_{n=-inf..inf} x^(n^2))^(-19).
- Expansion of (Sum_{n=-inf..inf} x^(n^2))^(-20).A004421
Expansion of (Sum_{n=-inf..inf} x^(n^2))^(-20).
- Expansion of (Sum_{n=-inf..inf} x^(n^2))^(-21).A004422
Expansion of (Sum_{n=-inf..inf} x^(n^2))^(-21).
- Expansion of (Sum_{n=-inf..inf} x^(n^2))^(-22).A004423
Expansion of (Sum_{n=-inf..inf} x^(n^2))^(-22).
- Expansion of (Sum_{n=-inf..inf} x^(n^2))^(-23).A004424
Expansion of (Sum_{n=-inf..inf} x^(n^2))^(-23).
- Expansion of (Sum x^(n^2), n = -inf .. inf )^(-24).A004425
Expansion of (Sum x^(n^2), n = -inf .. inf )^(-24).
- Arithmetic mean of digits of n (rounded down).A004426
Arithmetic mean of digits of n (rounded down).
- Arithmetic mean of digits of n (rounded up).A004427
Arithmetic mean of digits of n (rounded up).
- Geometric mean of digits of n (rounded down).A004428
Geometric mean of digits of n (rounded down).
- Geometric mean of digits of n (rounded to nearest integer).A004429
Geometric mean of digits of n (rounded to nearest integer).
- Geometric mean of digits of n (rounded up).A004430
Geometric mean of digits of n (rounded up).
- Numbers that are the sum of 2 distinct nonzero squares.A004431
Numbers that are the sum of 2 distinct nonzero squares.
- Numbers that are the sum of 3 distinct nonzero squares.A004432
Numbers that are the sum of 3 distinct nonzero squares.
- Numbers that are the sum of 4 distinct nonzero squares: of form w^2+x^2+y^2+z^2 with 0<w<x<y<z.A004433
Numbers that are the sum of 4 distinct nonzero squares: of form w^2+x^2+y^2+z^2 with 0<w<x<y<z.
- Numbers that are the sum of 5 distinct nonzero squares.A004434
Numbers that are the sum of 5 distinct nonzero squares.
- Positive integers that are not the sum of 2 distinct square integers.A004435
Positive integers that are not the sum of 2 distinct square integers.
- Numbers that are not the sum of 3 distinct squares.A004436
Numbers that are not the sum of 3 distinct squares.
- Numbers that are not the sum of 4 distinct squares.A004437
Numbers that are not the sum of 4 distinct squares.
- Numbers that are not the sum of 5 distinct squares.A004438
Numbers that are not the sum of 5 distinct squares.
- Numbers that are not the sum of 2 distinct nonzero squares.A004439
Numbers that are not the sum of 2 distinct nonzero squares.
- Numbers that are not the sum of 3 distinct nonzero squares.A004440
Numbers that are not the sum of 3 distinct nonzero squares.
- Numbers that are not the sum of 4 distinct nonzero squares.A004441
Numbers that are not the sum of 4 distinct nonzero squares.
- Natural numbers, pairs reversed: a(n) = n + (-1)^n; also Nimsum n + 1.A004442
Natural numbers, pairs reversed: a(n) = n + (-1)^n; also Nimsum n + 1.
- Nimsum n + 2.A004443
Nimsum n + 2.
- Nimsum n + 3.A004444
Nimsum n + 3.
- Nimsum n + 4.A004445
Nimsum n + 4.
- a(n) = Nimsum n + 5.A004446
a(n) = Nimsum n + 5.
- Nimsum n + 6.A004447
Nimsum n + 6.
- Nimsum n + 7.A004448
Nimsum n + 7.
- Nimsum n + 8.A004449
Nimsum n + 8.
- Nimsum n + 9.A004450
Nimsum n + 9.
- Nimsum n + 10.A004451
Nimsum n + 10.
- Nimsum n + 11.A004452
Nimsum n + 11.
- Nimsum n + 12.A004453
Nimsum n + 12.
- Nimsum n + 13.A004454
Nimsum n + 13.
- Nimsum n + 14.A004455
Nimsum n + 14.
- Nimsum n + 15.A004456
Nimsum n + 15.
- Nimsum n + 16.A004457
Nimsum n + 16.
- Nimsum n + 17.A004458
Nimsum n + 17.
- Nimsum n + 18.A004459
Nimsum n + 18.