Sequences

392,541 sequences

a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ... + a(n-3)*a(3) for n >= 4, with initial terms 3, -2, 1, 3.A025261
a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ... + a(n-3)*a(3) for n >= 4, with initial terms 3, -2, 1, 3.
a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ... + a(n-1)*a(1) for n >= 4.A025262
a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ... + a(n-1)*a(1) for n >= 4.
a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-1)*a(1) for n >= 4, with initial terms 1,2,1.A025263
a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-1)*a(1) for n >= 4, with initial terms 1,2,1.
a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-1)*a(1) for n >= 4, starting 2,1,1.A025264
a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-1)*a(1) for n >= 4, starting 2,1,1.
a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ... + a(n-1)*a(1) for n >= 4.A025265
a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ... + a(n-1)*a(1) for n >= 4.
a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ... + a(n-1)*a(1) for n >= 4.A025266
a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ... + a(n-1)*a(1) for n >= 4.
a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-1)*a(1) for n >= 4, with initial terms 1,-1,1.A025267
a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-1)*a(1) for n >= 4, with initial terms 1,-1,1.
a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-1)*a(1) for n >= 5, with initial values 1,1,1,1.A025268
a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-1)*a(1) for n >= 5, with initial values 1,1,1,1.
a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-1)*a(1) for n >= 5, with initial values 2,1,1,1.A025269
a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-1)*a(1) for n >= 5, with initial values 2,1,1,1.
a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-1)*a(1) for n >= 5, with initial values 1,2,1,1.A025270
a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-1)*a(1) for n >= 5, with initial values 1,2,1,1.
a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-1)*a(1) for n >= 5, with initial values 1,1,2,1.A025271
a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-1)*a(1) for n >= 5, with initial values 1,1,2,1.
a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-1)*a(1) for n >= 5, with initial values 1,1,1,2.A025272
a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-1)*a(1) for n >= 5, with initial values 1,1,1,2.
a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-1)*a(1) for n >= 5, starting 1,0,1,1.A025273
a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-1)*a(1) for n >= 5, starting 1,0,1,1.
a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-1)*a(1) for n >= 5, starting 1,1,1,0.A025274
a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-1)*a(1) for n >= 5, starting 1,1,1,0.
a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-1)*a(1) for n >= 5, with initial values 1,0,1,0.A025275
a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-1)*a(1) for n >= 5, with initial values 1,0,1,0.
a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ... + a(n-1)*a(1) for n >= 5, with a(1) = 1, a(2) = a(3) = 0, a(4) = 1.A025276
a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ... + a(n-1)*a(1) for n >= 5, with a(1) = 1, a(2) = a(3) = 0, a(4) = 1.
a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-1)*a(1) for n >= 5, with initial values 0,0,1,1.A025277
a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-1)*a(1) for n >= 5, with initial values 0,0,1,1.
a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-1)*a(1) for n >= 5, with initial values 1,-1,1,1.A025278
a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-1)*a(1) for n >= 5, with initial values 1,-1,1,1.
a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-1)*a(1) for n >= 5, starting 1,0,-1,1.A025279
a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-1)*a(1) for n >= 5, starting 1,0,-1,1.
Complexity of n: number of 1's required to build n using +, *, and ^.A025280
Complexity of n: number of 1's required to build n using +, *, and ^.
a(n) = sopfr(n!), where sopfr = A001414 is the integer log.A025281
a(n) = sopfr(n!), where sopfr = A001414 is the integer log.
Smallest number requiring n Fibonacci numbers to build using + and *.A025282
Smallest number requiring n Fibonacci numbers to build using + and *.
Composites that use the same digits as their prime factorization.A025283
Composites that use the same digits as their prime factorization.
Numbers that are the sum of 2 nonzero squares in exactly 1 way.A025284
Numbers that are the sum of 2 nonzero squares in exactly 1 way.
Numbers that are the sum of 2 nonzero squares in exactly 2 ways.A025285
Numbers that are the sum of 2 nonzero squares in exactly 2 ways.
Numbers that are the sum of 2 nonzero squares in exactly 3 ways.A025286
Numbers that are the sum of 2 nonzero squares in exactly 3 ways.
Numbers that are the sum of 2 nonzero squares in exactly 4 ways.A025287
Numbers that are the sum of 2 nonzero squares in exactly 4 ways.
Numbers that are the sum of 2 nonzero squares in exactly 5 ways.A025288
Numbers that are the sum of 2 nonzero squares in exactly 5 ways.
Numbers that are the sum of 2 nonzero squares in exactly 6 ways.A025289
Numbers that are the sum of 2 nonzero squares in exactly 6 ways.
Numbers that are the sum of 2 nonzero squares in exactly 7 ways.A025290
Numbers that are the sum of 2 nonzero squares in exactly 7 ways.
Numbers that are the sum of 2 nonzero squares in exactly 8 ways.A025291
Numbers that are the sum of 2 nonzero squares in exactly 8 ways.
Numbers that are the sum of 2 nonzero squares in exactly 9 ways.A025292
Numbers that are the sum of 2 nonzero squares in exactly 9 ways.
Numbers that are the sum of 2 nonzero squares in exactly 10 ways.A025293
Numbers that are the sum of 2 nonzero squares in exactly 10 ways.
Numbers that are the sum of 2 nonzero squares in 3 or more ways.A025294
Numbers that are the sum of 2 nonzero squares in 3 or more ways.
Numbers that are the sum of 2 nonzero squares in 4 or more ways.A025295
Numbers that are the sum of 2 nonzero squares in 4 or more ways.
Numbers that are the sum of 2 nonzero squares in 5 or more ways.A025296
Numbers that are the sum of 2 nonzero squares in 5 or more ways.
Numbers that are the sum of 2 nonzero squares in 6 or more ways.A025297
Numbers that are the sum of 2 nonzero squares in 6 or more ways.
Numbers that are the sum of 2 nonzero squares in 7 or more ways.A025298
Numbers that are the sum of 2 nonzero squares in 7 or more ways.
Numbers that are the sum of 2 nonzero squares in 8 or more ways.A025299
Numbers that are the sum of 2 nonzero squares in 8 or more ways.
Numbers that are the sum of 2 nonzero squares in 9 or more ways.A025300
Numbers that are the sum of 2 nonzero squares in 9 or more ways.
Numbers that are the sum of 2 nonzero squares in 10 or more ways.A025301
Numbers that are the sum of 2 nonzero squares in 10 or more ways.
Numbers that are the sum of 2 distinct nonzero squares in exactly 1 way.A025302
Numbers that are the sum of 2 distinct nonzero squares in exactly 1 way.
Numbers that are the sum of 2 distinct nonzero squares in exactly 2 ways.A025303
Numbers that are the sum of 2 distinct nonzero squares in exactly 2 ways.
Numbers that are the sum of 2 distinct nonzero squares in exactly 3 ways.A025304
Numbers that are the sum of 2 distinct nonzero squares in exactly 3 ways.
Numbers that are the sum of 2 distinct nonzero squares in exactly 4 ways.A025305
Numbers that are the sum of 2 distinct nonzero squares in exactly 4 ways.
Numbers that are the sum of 2 distinct nonzero squares in exactly 5 ways.A025306
Numbers that are the sum of 2 distinct nonzero squares in exactly 5 ways.
Numbers that are the sum of 2 distinct nonzero squares in exactly 6 ways.A025307
Numbers that are the sum of 2 distinct nonzero squares in exactly 6 ways.
Numbers that are the sum of 2 distinct nonzero squares in exactly 7 ways.A025308
Numbers that are the sum of 2 distinct nonzero squares in exactly 7 ways.
Numbers that are the sum of 2 distinct nonzero squares in exactly 8 ways.A025309
Numbers that are the sum of 2 distinct nonzero squares in exactly 8 ways.
Numbers that are the sum of 2 distinct nonzero squares in exactly 9 ways.A025310
Numbers that are the sum of 2 distinct nonzero squares in exactly 9 ways.