cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Previous Showing 21-23 of 23 results.

A170957 Expansion of Product_{i=1..m} (1 + x^(4*i-1)) for m = 4.

Original entry on oeis.org

1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1
Offset: 0

Views

Author

N. J. A. Sloane, Aug 29 2010

Keywords

Comments

Product_{i=1..m} (1 + x^(4*i-1)) is the Poincaré polynomial for both Sp(2m) and O(2m+1).

References

  • H. Weyl, The Classical Groups, Princeton, 1946, see p. 238.

Crossrefs

Cf. A000700, A147599, A169975, A170956-A170965.

A170958 Expansion of Product_{i=1..m} (1 + x^(4*i-1)) for m = 5.

Original entry on oeis.org

1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1
Offset: 0

Views

Author

N. J. A. Sloane, Aug 29 2010

Keywords

Comments

Product_{i=1..m} (1 + x^(4*i-1)) is the Poincaré polynomial for both Sp(2m) and O(2m+1).

References

  • H. Weyl, The Classical Groups, Princeton, 1946, see p. 238.

Crossrefs

Cf. A000700, A147599, A169975, A170956-A170965.

Programs

  • Mathematica
    CoefficientList[Series[Product[1+x^(4i-1),{i,5}],{x,0,60}],x] (* Harvey P. Dale, Mar 09 2019 *)

A170959 Expansion of Product_{i=1..m} (1 + x^(4*i-1)) for m = 6.

Original entry on oeis.org

1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 3, 0, 0, 2, 2, 0, 0, 3, 2, 0, 1, 3, 1, 0, 1, 3, 1, 0, 2, 3, 0, 0, 2, 2, 0, 0, 3, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1
Offset: 0

Views

Author

N. J. A. Sloane, Aug 29 2010

Keywords

Comments

Product_{i=1..m} (1 + x^(4*i-1)) is the Poincaré polynomial for both Sp(2m) and O(2m+1).

References

  • H. Weyl, The Classical Groups, Princeton, 1946, see p. 238.

Crossrefs

Cf. A000700, A147599, A169975, A170956-A170965.
Previous Showing 21-23 of 23 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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