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Decomposition of Unhappy numbers

Unhappy numbers: numbers having period-8 2-digitized sequences
A031177(n) = A000000(n) * A000000(n) + A000000(n)
Decomposition of Unhappy numbers - 9998 dots.

Decomposition of A031396

Numbers n such that Pell equation x^2 - n y^2 = -1 is soluble.
A031396(n) = A000000(n) * A000000(n) + A000000(n)
Decomposition of A031396 - 9995 dots.

Decomposition of Digitally balanced numbers

Digitally balanced numbers: numbers which in base 2 have the same number of 0's as 1's.
A031443(n) = A000000(n) * A000000(n) + A145057(n)
Decomposition of Digitally balanced numbers - 9991 dots.

Decomposition of A031924

Lower prime of a difference of 6 between consecutive primes.
A031924(n) = A000000(n) * A000000(n) + A053321(n)
Decomposition of A031924 - 9997 dots.

Decomposition of A031925

Upper prime of a difference of 6 between consecutive primes.
A031925(n) = A000000(n) * A000000(n) + A000000(n)
Decomposition of A031925 - 9998 dots.

Decomposition of A031926

Lower prime of a difference of 8 between consecutive primes.
A031926(n) = A000000(n) * A000000(n) + A053322(n)
Decomposition of A031926 - 9998 dots.

Decomposition of A031930

Lower prime of a difference of 12 between consecutive primes.
A031930(n) = A000000(n) * A000000(n) + A000000(n)
Decomposition of A031930 - 9998 dots.

Decomposition of A031932

Lower prime of a pair of consecutive primes having a difference of 14.
A031932(n) = A000000(n) * A000000(n) + A000000(n)
Decomposition of A031932 - 9997 dots.